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Finding the Fourth Proportional to 724.14, 999.75 and 566.49

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Solution

The fourth proportional to 724.14, 999.75 and 566.49 is: 782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.14 : 999.75 = 566.49 : x
  2. Step 2: Convert to fraction form
    724.14/999.75 = 566.49/x
  3. Step 3: Cross multiply
    724.14x = 999.75 × 566.49
  4. Step 4: Simplify right side
    724.14x = 566,348.38
  5. Step 5: Solve for x
    x = 566,348.38/724.14
  6. Step 6: Final answer
    x = 782.10

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1.5x scale

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.