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Finding the Fourth Proportional to 724.26, 999.63 and 514.74

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Solution

The fourth proportional to 724.26, 999.63 and 514.74 is: 710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.26 : 999.63 = 514.74 : x
  2. Step 2: Convert to fraction form
    724.26/999.63 = 514.74/x
  3. Step 3: Cross multiply
    724.26x = 999.63 × 514.74
  4. Step 4: Simplify right side
    724.26x = 514,549.55
  5. Step 5: Solve for x
    x = 514,549.55/724.26
  6. Step 6: Final answer
    x = 710.45

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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.