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Finding the Fourth Proportional to 801.99, 1,106.60 and 487.53

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Solution

The fourth proportional to 801.99, 1,106.60 and 487.53 is: 672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.99 : 1,106.60 = 487.53 : x
  2. Step 2: Convert to fraction form
    801.99/1,106.60 = 487.53/x
  3. Step 3: Cross multiply
    801.99x = 1,106.60 × 487.53
  4. Step 4: Simplify right side
    801.99x = 539,498.26
  5. Step 5: Solve for x
    x = 539,498.26/801.99
  6. Step 6: Final answer
    x = 672.70

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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.