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Finding the Fourth Proportional to 1,207.39, 1,665.40 and 958.32

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Solution

The fourth proportional to 1,207.39, 1,665.40 and 958.32 is: 1,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.39 : 1,665.40 = 958.32 : x
  2. Step 2: Convert to fraction form
    1,207.39/1,665.40 = 958.32/x
  3. Step 3: Cross multiply
    1,207.39x = 1,665.40 × 958.32
  4. Step 4: Simplify right side
    1,207.39x = 1,595,986.13
  5. Step 5: Solve for x
    x = 1,595,986.13/1,207.39
  6. Step 6: Final answer
    x = 1,321.85

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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.