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Finding the Fourth Proportional to 806.76, 1,111.32 and 641.52

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Solution

The fourth proportional to 806.76, 1,111.32 and 641.52 is: 883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.76 : 1,111.32 = 641.52 : x
  2. Step 2: Convert to fraction form
    806.76/1,111.32 = 641.52/x
  3. Step 3: Cross multiply
    806.76x = 1,111.32 × 641.52
  4. Step 4: Simplify right side
    806.76x = 712,934.01
  5. Step 5: Solve for x
    x = 712,934.01/806.76
  6. Step 6: Final answer
    x = 883.70

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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.