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Finding the Fourth Proportional to 1,129.12, 1,693.68 and 307.48

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Solution

The fourth proportional to 1,129.12, 1,693.68 and 307.48 is: 461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.12 : 1,693.68 = 307.48 : x
  2. Step 2: Convert to fraction form
    1,129.12/1,693.68 = 307.48/x
  3. Step 3: Cross multiply
    1,129.12x = 1,693.68 × 307.48
  4. Step 4: Simplify right side
    1,129.12x = 520,772.73
  5. Step 5: Solve for x
    x = 520,772.73/1,129.12
  6. Step 6: Final answer
    x = 461.22

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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.