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Finding the Fourth Proportional to 749.33, 1,122.96 and 714.47

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Solution

The fourth proportional to 749.33, 1,122.96 and 714.47 is: 1,070.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.33 : 1,122.96 = 714.47 : x
  2. Step 2: Convert to fraction form
    749.33/1,122.96 = 714.47/x
  3. Step 3: Cross multiply
    749.33x = 1,122.96 × 714.47
  4. Step 4: Simplify right side
    749.33x = 802,324.61
  5. Step 5: Solve for x
    x = 802,324.61/749.33
  6. Step 6: Final answer
    x = 1,070.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.