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Finding the Fourth Proportional to 808.10, 1,114.71 and 545.66

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Solution

The fourth proportional to 808.10, 1,114.71 and 545.66 is: 752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.10 : 1,114.71 = 545.66 : x
  2. Step 2: Convert to fraction form
    808.10/1,114.71 = 545.66/x
  3. Step 3: Cross multiply
    808.10x = 1,114.71 × 545.66
  4. Step 4: Simplify right side
    808.10x = 608,252.66
  5. Step 5: Solve for x
    x = 608,252.66/808.10
  6. Step 6: Final answer
    x = 752.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.