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Finding the Fourth Proportional to 691.02, 1,037.46 and 588.96

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Solution

The fourth proportional to 691.02, 1,037.46 and 588.96 is: 884.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.02 : 1,037.46 = 588.96 : x
  2. Step 2: Convert to fraction form
    691.02/1,037.46 = 588.96/x
  3. Step 3: Cross multiply
    691.02x = 1,037.46 × 588.96
  4. Step 4: Simplify right side
    691.02x = 611,022.44
  5. Step 5: Solve for x
    x = 611,022.44/691.02
  6. Step 6: Final answer
    x = 884.23

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Why These Related Problems?

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