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Finding the Fourth Proportional to 712.32, 1,066.66 and 596.47

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Solution

The fourth proportional to 712.32, 1,066.66 and 596.47 is: 893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.32 : 1,066.66 = 596.47 : x
  2. Step 2: Convert to fraction form
    712.32/1,066.66 = 596.47/x
  3. Step 3: Cross multiply
    712.32x = 1,066.66 × 596.47
  4. Step 4: Simplify right side
    712.32x = 636,230.69
  5. Step 5: Solve for x
    x = 636,230.69/712.32
  6. Step 6: Final answer
    x = 893.18

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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.