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Finding the Fourth Proportional to 1,158.17, 1,738.17 and 427.95

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Solution

The fourth proportional to 1,158.17, 1,738.17 and 427.95 is: 642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.17 : 1,738.17 = 427.95 : x
  2. Step 2: Convert to fraction form
    1,158.17/1,738.17 = 427.95/x
  3. Step 3: Cross multiply
    1,158.17x = 1,738.17 × 427.95
  4. Step 4: Simplify right side
    1,158.17x = 743,854.76
  5. Step 5: Solve for x
    x = 743,854.76/1,158.17
  6. Step 6: Final answer
    x = 642.27

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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.