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Finding the Fourth Proportional to 869.93, 1,200.49 and 476.95

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Solution

The fourth proportional to 869.93, 1,200.49 and 476.95 is: 658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.93 : 1,200.49 = 476.95 : x
  2. Step 2: Convert to fraction form
    869.93/1,200.49 = 476.95/x
  3. Step 3: Cross multiply
    869.93x = 1,200.49 × 476.95
  4. Step 4: Simplify right side
    869.93x = 572,573.71
  5. Step 5: Solve for x
    x = 572,573.71/869.93
  6. Step 6: Final answer
    x = 658.19

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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.