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Finding the Fourth Proportional to 934.55, 1,290.28 and 580.85

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Solution

The fourth proportional to 934.55, 1,290.28 and 580.85 is: 801.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.55 : 1,290.28 = 580.85 : x
  2. Step 2: Convert to fraction form
    934.55/1,290.28 = 580.85/x
  3. Step 3: Cross multiply
    934.55x = 1,290.28 × 580.85
  4. Step 4: Simplify right side
    934.55x = 749,459.14
  5. Step 5: Solve for x
    x = 749,459.14/934.55
  6. Step 6: Final answer
    x = 801.95

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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.