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Finding the Fourth Proportional to 1,033.40, 1,423.92 and 701.24

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Solution

The fourth proportional to 1,033.40, 1,423.92 and 701.24 is: 966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.40 : 1,423.92 = 701.24 : x
  2. Step 2: Convert to fraction form
    1,033.40/1,423.92 = 701.24/x
  3. Step 3: Cross multiply
    1,033.40x = 1,423.92 × 701.24
  4. Step 4: Simplify right side
    1,033.40x = 998,509.66
  5. Step 5: Solve for x
    x = 998,509.66/1,033.40
  6. Step 6: Final answer
    x = 966.24

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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.