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Finding the Fourth Proportional to 909.14, 1,254.65 and 560.03

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Solution

The fourth proportional to 909.14, 1,254.65 and 560.03 is: 772.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.14 : 1,254.65 = 560.03 : x
  2. Step 2: Convert to fraction form
    909.14/1,254.65 = 560.03/x
  3. Step 3: Cross multiply
    909.14x = 1,254.65 × 560.03
  4. Step 4: Simplify right side
    909.14x = 702,632.57
  5. Step 5: Solve for x
    x = 702,632.57/909.14
  6. Step 6: Final answer
    x = 772.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.