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Finding the Fourth Proportional to 1,134.83, 1,702.40 and 354.62

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Solution

The fourth proportional to 1,134.83, 1,702.40 and 354.62 is: 531.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.83 : 1,702.40 = 354.62 : x
  2. Step 2: Convert to fraction form
    1,134.83/1,702.40 = 354.62/x
  3. Step 3: Cross multiply
    1,134.83x = 1,702.40 × 354.62
  4. Step 4: Simplify right side
    1,134.83x = 603,705.09
  5. Step 5: Solve for x
    x = 603,705.09/1,134.83
  6. Step 6: Final answer
    x = 531.98

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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.