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Finding the Fourth Proportional to 1,154.41, 1,732.30 and 424.06

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Solution

The fourth proportional to 1,154.41, 1,732.30 and 424.06 is: 636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.41 : 1,732.30 = 424.06 : x
  2. Step 2: Convert to fraction form
    1,154.41/1,732.30 = 424.06/x
  3. Step 3: Cross multiply
    1,154.41x = 1,732.30 × 424.06
  4. Step 4: Simplify right side
    1,154.41x = 734,599.14
  5. Step 5: Solve for x
    x = 734,599.14/1,154.41
  6. Step 6: Final answer
    x = 636.34

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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.