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Finding the Fourth Proportional to 1,156.73, 1,733.90 and 462.47

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Solution

The fourth proportional to 1,156.73, 1,733.90 and 462.47 is: 693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.73 : 1,733.90 = 462.47 : x
  2. Step 2: Convert to fraction form
    1,156.73/1,733.90 = 462.47/x
  3. Step 3: Cross multiply
    1,156.73x = 1,733.90 × 462.47
  4. Step 4: Simplify right side
    1,156.73x = 801,865.75
  5. Step 5: Solve for x
    x = 801,865.75/1,156.73
  6. Step 6: Final answer
    x = 693.22

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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.