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Finding the Fourth Proportional to 1,033.04, 1,423.68 and 701.48

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Solution

The fourth proportional to 1,033.04, 1,423.68 and 701.48 is: 966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.04 : 1,423.68 = 701.48 : x
  2. Step 2: Convert to fraction form
    1,033.04/1,423.68 = 701.48/x
  3. Step 3: Cross multiply
    1,033.04x = 1,423.68 × 701.48
  4. Step 4: Simplify right side
    1,033.04x = 998,683.98
  5. Step 5: Solve for x
    x = 998,683.98/1,033.04
  6. Step 6: Final answer
    x = 966.74

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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.