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Finding the Fourth Proportional to 1,005.53, 1,505.14 and 691.34

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Solution

The fourth proportional to 1,005.53, 1,505.14 and 691.34 is: 1,034.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.53 : 1,505.14 = 691.34 : x
  2. Step 2: Convert to fraction form
    1,005.53/1,505.14 = 691.34/x
  3. Step 3: Cross multiply
    1,005.53x = 1,505.14 × 691.34
  4. Step 4: Simplify right side
    1,005.53x = 1,040,565.52
  5. Step 5: Solve for x
    x = 1,040,565.52/1,005.53
  6. Step 6: Final answer
    x = 1,034.84

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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.