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Finding the Fourth Proportional to 869.95, 1,199.23 and 574.71

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Solution

The fourth proportional to 869.95, 1,199.23 and 574.71 is: 792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.95 : 1,199.23 = 574.71 : x
  2. Step 2: Convert to fraction form
    869.95/1,199.23 = 574.71/x
  3. Step 3: Cross multiply
    869.95x = 1,199.23 × 574.71
  4. Step 4: Simplify right side
    869.95x = 689,209.47
  5. Step 5: Solve for x
    x = 689,209.47/869.95
  6. Step 6: Final answer
    x = 792.24

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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.