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Finding the Fourth Proportional to 1,032.18, 1,423.90 and 958.08

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Solution

The fourth proportional to 1,032.18, 1,423.90 and 958.08 is: 1,321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.18 : 1,423.90 = 958.08 : x
  2. Step 2: Convert to fraction form
    1,032.18/1,423.90 = 958.08/x
  3. Step 3: Cross multiply
    1,032.18x = 1,423.90 × 958.08
  4. Step 4: Simplify right side
    1,032.18x = 1,364,210.11
  5. Step 5: Solve for x
    x = 1,364,210.11/1,032.18
  6. Step 6: Final answer
    x = 1,321.68

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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.