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Finding the Fourth Proportional to 1,461.72, 2,192.76 and 487.61

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Solution

The fourth proportional to 1,461.72, 2,192.76 and 487.61 is: 731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.72 : 2,192.76 = 487.61 : x
  2. Step 2: Convert to fraction form
    1,461.72/2,192.76 = 487.61/x
  3. Step 3: Cross multiply
    1,461.72x = 2,192.76 × 487.61
  4. Step 4: Simplify right side
    1,461.72x = 1,069,200.74
  5. Step 5: Solve for x
    x = 1,069,200.74/1,461.72
  6. Step 6: Final answer
    x = 731.47

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1.5x scale

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.