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Finding the Fourth Proportional to 974.98, 1,344.08 and 695.12

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Solution

The fourth proportional to 974.98, 1,344.08 and 695.12 is: 958.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.98 : 1,344.08 = 695.12 : x
  2. Step 2: Convert to fraction form
    974.98/1,344.08 = 695.12/x
  3. Step 3: Cross multiply
    974.98x = 1,344.08 × 695.12
  4. Step 4: Simplify right side
    974.98x = 934,296.89
  5. Step 5: Solve for x
    x = 934,296.89/974.98
  6. Step 6: Final answer
    x = 958.27

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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.