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Finding the Fourth Proportional to 1,124.40, 1,687.34 and 508.14

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Solution

The fourth proportional to 1,124.40, 1,687.34 and 508.14 is: 762.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.40 : 1,687.34 = 508.14 : x
  2. Step 2: Convert to fraction form
    1,124.40/1,687.34 = 508.14/x
  3. Step 3: Cross multiply
    1,124.40x = 1,687.34 × 508.14
  4. Step 4: Simplify right side
    1,124.40x = 857,410.64
  5. Step 5: Solve for x
    x = 857,410.64/1,124.40
  6. Step 6: Final answer
    x = 762.55

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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.