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Finding the Fourth Proportional to 1,707.32, 2,560.89 and 474.73

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Solution

The fourth proportional to 1,707.32, 2,560.89 and 474.73 is: 712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.32 : 2,560.89 = 474.73 : x
  2. Step 2: Convert to fraction form
    1,707.32/2,560.89 = 474.73/x
  3. Step 3: Cross multiply
    1,707.32x = 2,560.89 × 474.73
  4. Step 4: Simplify right side
    1,707.32x = 1,215,731.31
  5. Step 5: Solve for x
    x = 1,215,731.31/1,707.32
  6. Step 6: Final answer
    x = 712.07

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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.