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Finding the Fourth Proportional to 1,092.96, 1,638.83 and 545.00

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Solution

The fourth proportional to 1,092.96, 1,638.83 and 545.00 is: 817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.96 : 1,638.83 = 545.00 : x
  2. Step 2: Convert to fraction form
    1,092.96/1,638.83 = 545.00/x
  3. Step 3: Cross multiply
    1,092.96x = 1,638.83 × 545.00
  4. Step 4: Simplify right side
    1,092.96x = 893,155.52
  5. Step 5: Solve for x
    x = 893,155.52/1,092.96
  6. Step 6: Final answer
    x = 817.19

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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.