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Finding the Fourth Proportional to 1,124.52, 1,686.80 and 302.79

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Solution

The fourth proportional to 1,124.52, 1,686.80 and 302.79 is: 454.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.52 : 1,686.80 = 302.79 : x
  2. Step 2: Convert to fraction form
    1,124.52/1,686.80 = 302.79/x
  3. Step 3: Cross multiply
    1,124.52x = 1,686.80 × 302.79
  4. Step 4: Simplify right side
    1,124.52x = 510,753.25
  5. Step 5: Solve for x
    x = 510,753.25/1,124.52
  6. Step 6: Final answer
    x = 454.20

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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.