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Finding the Fourth Proportional to 801.56, 1,106.07 and 591.86

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Solution

The fourth proportional to 801.56, 1,106.07 and 591.86 is: 816.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.56 : 1,106.07 = 591.86 : x
  2. Step 2: Convert to fraction form
    801.56/1,106.07 = 591.86/x
  3. Step 3: Cross multiply
    801.56x = 1,106.07 × 591.86
  4. Step 4: Simplify right side
    801.56x = 654,633.06
  5. Step 5: Solve for x
    x = 654,633.06/801.56
  6. Step 6: Final answer
    x = 816.70

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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.