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Finding the Fourth Proportional to 1,174.47, 1,617.08 and 954.15

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Solution

The fourth proportional to 1,174.47, 1,617.08 and 954.15 is: 1,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.47 : 1,617.08 = 954.15 : x
  2. Step 2: Convert to fraction form
    1,174.47/1,617.08 = 954.15/x
  3. Step 3: Cross multiply
    1,174.47x = 1,617.08 × 954.15
  4. Step 4: Simplify right side
    1,174.47x = 1,542,932.11
  5. Step 5: Solve for x
    x = 1,542,932.11/1,174.47
  6. Step 6: Final answer
    x = 1,313.73

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1.5x scale

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.