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Finding the Fourth Proportional to 1,134.54, 1,702.05 and 354.52

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Solution

The fourth proportional to 1,134.54, 1,702.05 and 354.52 is: 531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.54 : 1,702.05 = 354.52 : x
  2. Step 2: Convert to fraction form
    1,134.54/1,702.05 = 354.52/x
  3. Step 3: Cross multiply
    1,134.54x = 1,702.05 × 354.52
  4. Step 4: Simplify right side
    1,134.54x = 603,411.56
  5. Step 5: Solve for x
    x = 603,411.56/1,134.54
  6. Step 6: Final answer
    x = 531.86

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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.