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Finding the Fourth Proportional to 691.44, 1,028.70 and 686.16

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Solution

The fourth proportional to 691.44, 1,028.70 and 686.16 is: 1,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.44 : 1,028.70 = 686.16 : x
  2. Step 2: Convert to fraction form
    691.44/1,028.70 = 686.16/x
  3. Step 3: Cross multiply
    691.44x = 1,028.70 × 686.16
  4. Step 4: Simplify right side
    691.44x = 705,852.79
  5. Step 5: Solve for x
    x = 705,852.79/691.44
  6. Step 6: Final answer
    x = 1,020.84

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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.