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Finding the Fourth Proportional to 1,223.90, 1,689.18 and 752.08

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Solution

The fourth proportional to 1,223.90, 1,689.18 and 752.08 is: 1,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.90 : 1,689.18 = 752.08 : x
  2. Step 2: Convert to fraction form
    1,223.90/1,689.18 = 752.08/x
  3. Step 3: Cross multiply
    1,223.90x = 1,689.18 × 752.08
  4. Step 4: Simplify right side
    1,223.90x = 1,270,398.49
  5. Step 5: Solve for x
    x = 1,270,398.49/1,223.90
  6. Step 6: Final answer
    x = 1,037.99

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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.