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Finding the Fourth Proportional to 1,472.72, 2,032.34 and 809.58

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Solution

The fourth proportional to 1,472.72, 2,032.34 and 809.58 is: 1,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.72 : 2,032.34 = 809.58 : x
  2. Step 2: Convert to fraction form
    1,472.72/2,032.34 = 809.58/x
  3. Step 3: Cross multiply
    1,472.72x = 2,032.34 × 809.58
  4. Step 4: Simplify right side
    1,472.72x = 1,645,341.82
  5. Step 5: Solve for x
    x = 1,645,341.82/1,472.72
  6. Step 6: Final answer
    x = 1,117.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.