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Finding the Fourth Proportional to 1,281.57, 1,918.92 and 732.99

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Solution

The fourth proportional to 1,281.57, 1,918.92 and 732.99 is: 1,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.57 : 1,918.92 = 732.99 : x
  2. Step 2: Convert to fraction form
    1,281.57/1,918.92 = 732.99/x
  3. Step 3: Cross multiply
    1,281.57x = 1,918.92 × 732.99
  4. Step 4: Simplify right side
    1,281.57x = 1,406,549.17
  5. Step 5: Solve for x
    x = 1,406,549.17/1,281.57
  6. Step 6: Final answer
    x = 1,097.52

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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.