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Finding the Fourth Proportional to 840.71, 1,259.14 and 402.27

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Solution

The fourth proportional to 840.71, 1,259.14 and 402.27 is: 602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.71 : 1,259.14 = 402.27 : x
  2. Step 2: Convert to fraction form
    840.71/1,259.14 = 402.27/x
  3. Step 3: Cross multiply
    840.71x = 1,259.14 × 402.27
  4. Step 4: Simplify right side
    840.71x = 506,509.27
  5. Step 5: Solve for x
    x = 506,509.27/840.71
  6. Step 6: Final answer
    x = 602.48

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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.