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Finding the Fourth Proportional to 874.46, 1,308.68 and 545.25

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Solution

The fourth proportional to 874.46, 1,308.68 and 545.25 is: 816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.46 : 1,308.68 = 545.25 : x
  2. Step 2: Convert to fraction form
    874.46/1,308.68 = 545.25/x
  3. Step 3: Cross multiply
    874.46x = 1,308.68 × 545.25
  4. Step 4: Simplify right side
    874.46x = 713,555.04
  5. Step 5: Solve for x
    x = 713,555.04/874.46
  6. Step 6: Final answer
    x = 816.00

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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.