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Finding the Fourth Proportional to 713.75, 1,065.09 and 631.74

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Solution

The fourth proportional to 713.75, 1,065.09 and 631.74 is: 942.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.75 : 1,065.09 = 631.74 : x
  2. Step 2: Convert to fraction form
    713.75/1,065.09 = 631.74/x
  3. Step 3: Cross multiply
    713.75x = 1,065.09 × 631.74
  4. Step 4: Simplify right side
    713.75x = 672,859.96
  5. Step 5: Solve for x
    x = 672,859.96/713.75
  6. Step 6: Final answer
    x = 942.72

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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.