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Finding the Fourth Proportional to 720.16, 1,077.90 and 694.72

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Solution

The fourth proportional to 720.16, 1,077.90 and 694.72 is: 1,039.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.16 : 1,077.90 = 694.72 : x
  2. Step 2: Convert to fraction form
    720.16/1,077.90 = 694.72/x
  3. Step 3: Cross multiply
    720.16x = 1,077.90 × 694.72
  4. Step 4: Simplify right side
    720.16x = 748,838.69
  5. Step 5: Solve for x
    x = 748,838.69/720.16
  6. Step 6: Final answer
    x = 1,039.82

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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.