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Finding the Fourth Proportional to 846.97, 1,269.54 and 553.55

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Solution

The fourth proportional to 846.97, 1,269.54 and 553.55 is: 829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.97 : 1,269.54 = 553.55 : x
  2. Step 2: Convert to fraction form
    846.97/1,269.54 = 553.55/x
  3. Step 3: Cross multiply
    846.97x = 1,269.54 × 553.55
  4. Step 4: Simplify right side
    846.97x = 702,747.52
  5. Step 5: Solve for x
    x = 702,747.52/846.97
  6. Step 6: Final answer
    x = 829.72

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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.