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Finding the Fourth Proportional to 1,472.83, 2,032.52 and 800.63

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Solution

The fourth proportional to 1,472.83, 2,032.52 and 800.63 is: 1,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.83 : 2,032.52 = 800.63 : x
  2. Step 2: Convert to fraction form
    1,472.83/2,032.52 = 800.63/x
  3. Step 3: Cross multiply
    1,472.83x = 2,032.52 × 800.63
  4. Step 4: Simplify right side
    1,472.83x = 1,627,289.94
  5. Step 5: Solve for x
    x = 1,627,289.94/1,472.83
  6. Step 6: Final answer
    x = 1,104.87

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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.