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Finding the Fourth Proportional to 724.94, 1,000.53 and 410.34

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Solution

The fourth proportional to 724.94, 1,000.53 and 410.34 is: 566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.94 : 1,000.53 = 410.34 : x
  2. Step 2: Convert to fraction form
    724.94/1,000.53 = 410.34/x
  3. Step 3: Cross multiply
    724.94x = 1,000.53 × 410.34
  4. Step 4: Simplify right side
    724.94x = 410,557.48
  5. Step 5: Solve for x
    x = 410,557.48/724.94
  6. Step 6: Final answer
    x = 566.34

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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.