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Finding the Fourth Proportional to 1,353.83, 1,868.27 and 732.83

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Solution

The fourth proportional to 1,353.83, 1,868.27 and 732.83 is: 1,011.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.83 : 1,868.27 = 732.83 : x
  2. Step 2: Convert to fraction form
    1,353.83/1,868.27 = 732.83/x
  3. Step 3: Cross multiply
    1,353.83x = 1,868.27 × 732.83
  4. Step 4: Simplify right side
    1,353.83x = 1,369,111.30
  5. Step 5: Solve for x
    x = 1,369,111.30/1,353.83
  6. Step 6: Final answer
    x = 1,011.29

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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.