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Finding the Fourth Proportional to 1,057.17, 1,586.48 and 480.45

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Solution

The fourth proportional to 1,057.17, 1,586.48 and 480.45 is: 721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.17 : 1,586.48 = 480.45 : x
  2. Step 2: Convert to fraction form
    1,057.17/1,586.48 = 480.45/x
  3. Step 3: Cross multiply
    1,057.17x = 1,586.48 × 480.45
  4. Step 4: Simplify right side
    1,057.17x = 762,221.91
  5. Step 5: Solve for x
    x = 762,221.91/1,057.17
  6. Step 6: Final answer
    x = 721.00

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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.