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Finding the Fourth Proportional to 1,134.87, 1,702.31 and 313.20

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Solution

The fourth proportional to 1,134.87, 1,702.31 and 313.20 is: 469.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.87 : 1,702.31 = 313.20 : x
  2. Step 2: Convert to fraction form
    1,134.87/1,702.31 = 313.20/x
  3. Step 3: Cross multiply
    1,134.87x = 1,702.31 × 313.20
  4. Step 4: Simplify right side
    1,134.87x = 533,161.93
  5. Step 5: Solve for x
    x = 533,161.93/1,134.87
  6. Step 6: Final answer
    x = 469.80

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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.