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Finding the Fourth Proportional to 1,103.57, 1,655.36 and 524.69

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Solution

The fourth proportional to 1,103.57, 1,655.36 and 524.69 is: 787.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.57 : 1,655.36 = 524.69 : x
  2. Step 2: Convert to fraction form
    1,103.57/1,655.36 = 524.69/x
  3. Step 3: Cross multiply
    1,103.57x = 1,655.36 × 524.69
  4. Step 4: Simplify right side
    1,103.57x = 868,548.21
  5. Step 5: Solve for x
    x = 868,548.21/1,103.57
  6. Step 6: Final answer
    x = 787.04

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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.