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Finding the Fourth Proportional to 718.75, 1,077.55 and 410.06

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Solution

The fourth proportional to 718.75, 1,077.55 and 410.06 is: 614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.75 : 1,077.55 = 410.06 : x
  2. Step 2: Convert to fraction form
    718.75/1,077.55 = 410.06/x
  3. Step 3: Cross multiply
    718.75x = 1,077.55 × 410.06
  4. Step 4: Simplify right side
    718.75x = 441,864.13
  5. Step 5: Solve for x
    x = 441,864.13/718.75
  6. Step 6: Final answer
    x = 614.77

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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.