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Finding the Fourth Proportional to 1,115.92, 1,673.92 and 537.04

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Solution

The fourth proportional to 1,115.92, 1,673.92 and 537.04 is: 805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.92 : 1,673.92 = 537.04 : x
  2. Step 2: Convert to fraction form
    1,115.92/1,673.92 = 537.04/x
  3. Step 3: Cross multiply
    1,115.92x = 1,673.92 × 537.04
  4. Step 4: Simplify right side
    1,115.92x = 898,962.00
  5. Step 5: Solve for x
    x = 898,962.00/1,115.92
  6. Step 6: Final answer
    x = 805.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.