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Finding the Fourth Proportional to 1,207.40, 1,665.15 and 958.32

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Solution

The fourth proportional to 1,207.40, 1,665.15 and 958.32 is: 1,321.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.40 : 1,665.15 = 958.32 : x
  2. Step 2: Convert to fraction form
    1,207.40/1,665.15 = 958.32/x
  3. Step 3: Cross multiply
    1,207.40x = 1,665.15 × 958.32
  4. Step 4: Simplify right side
    1,207.40x = 1,595,746.55
  5. Step 5: Solve for x
    x = 1,595,746.55/1,207.40
  6. Step 6: Final answer
    x = 1,321.64

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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.