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Finding the Fourth Proportional to 801.59, 1,203.19 and 570.74

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Solution

The fourth proportional to 801.59, 1,203.19 and 570.74 is: 856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.59 : 1,203.19 = 570.74 : x
  2. Step 2: Convert to fraction form
    801.59/1,203.19 = 570.74/x
  3. Step 3: Cross multiply
    801.59x = 1,203.19 × 570.74
  4. Step 4: Simplify right side
    801.59x = 686,708.66
  5. Step 5: Solve for x
    x = 686,708.66/801.59
  6. Step 6: Final answer
    x = 856.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.