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Finding the Fourth Proportional to 713.32, 1,064.15 and 693.47

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Solution

The fourth proportional to 713.32, 1,064.15 and 693.47 is: 1,034.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.32 : 1,064.15 = 693.47 : x
  2. Step 2: Convert to fraction form
    713.32/1,064.15 = 693.47/x
  3. Step 3: Cross multiply
    713.32x = 1,064.15 × 693.47
  4. Step 4: Simplify right side
    713.32x = 737,957.89
  5. Step 5: Solve for x
    x = 737,957.89/713.32
  6. Step 6: Final answer
    x = 1,034.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.