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Finding the Fourth Proportional to 691.60, 1,034.34 and 615.10

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Solution

The fourth proportional to 691.60, 1,034.34 and 615.10 is: 919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.60 : 1,034.34 = 615.10 : x
  2. Step 2: Convert to fraction form
    691.60/1,034.34 = 615.10/x
  3. Step 3: Cross multiply
    691.60x = 1,034.34 × 615.10
  4. Step 4: Simplify right side
    691.60x = 636,222.53
  5. Step 5: Solve for x
    x = 636,222.53/691.60
  6. Step 6: Final answer
    x = 919.93

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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.