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Finding the Fourth Proportional to 1,154.65, 1,732.23 and 424.28

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Solution

The fourth proportional to 1,154.65, 1,732.23 and 424.28 is: 636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.65 : 1,732.23 = 424.28 : x
  2. Step 2: Convert to fraction form
    1,154.65/1,732.23 = 424.28/x
  3. Step 3: Cross multiply
    1,154.65x = 1,732.23 × 424.28
  4. Step 4: Simplify right side
    1,154.65x = 734,948.42
  5. Step 5: Solve for x
    x = 734,948.42/1,154.65
  6. Step 6: Final answer
    x = 636.51

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.