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Finding the Fourth Proportional to 712, 1,066.92 and 496

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Solution

The fourth proportional to 712, 1,066.92 and 496 is: 743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    712 : 1,066.92 = 496 : x
  2. Step 2: Convert to fraction form
    712/1,066.92 = 496/x
  3. Step 3: Cross multiply
    712x = 1,066.92 × 496
  4. Step 4: Simplify right side
    712x = 529,192.32
  5. Step 5: Solve for x
    x = 529,192.32/712
  6. Step 6: Final answer
    x = 743.25

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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.