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Finding the Fourth Proportional to 718.29, 1,077.64 and 410.69

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Solution

The fourth proportional to 718.29, 1,077.64 and 410.69 is: 616.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.29 : 1,077.64 = 410.69 : x
  2. Step 2: Convert to fraction form
    718.29/1,077.64 = 410.69/x
  3. Step 3: Cross multiply
    718.29x = 1,077.64 × 410.69
  4. Step 4: Simplify right side
    718.29x = 442,577.64
  5. Step 5: Solve for x
    x = 442,577.64/718.29
  6. Step 6: Final answer
    x = 616.15

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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.