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Finding the Fourth Proportional to 816.87, 1,126.65 and 581.16

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Solution

The fourth proportional to 816.87, 1,126.65 and 581.16 is: 801.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.87 : 1,126.65 = 581.16 : x
  2. Step 2: Convert to fraction form
    816.87/1,126.65 = 581.16/x
  3. Step 3: Cross multiply
    816.87x = 1,126.65 × 581.16
  4. Step 4: Simplify right side
    816.87x = 654,763.91
  5. Step 5: Solve for x
    x = 654,763.91/816.87
  6. Step 6: Final answer
    x = 801.55

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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.