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Finding the Fourth Proportional to 809.85, 1,117.68 and 460.50

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Solution

The fourth proportional to 809.85, 1,117.68 and 460.50 is: 635.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.85 : 1,117.68 = 460.50 : x
  2. Step 2: Convert to fraction form
    809.85/1,117.68 = 460.50/x
  3. Step 3: Cross multiply
    809.85x = 1,117.68 × 460.50
  4. Step 4: Simplify right side
    809.85x = 514,691.64
  5. Step 5: Solve for x
    x = 514,691.64/809.85
  6. Step 6: Final answer
    x = 635.54

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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.