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Finding the Fourth Proportional to 1,223.57, 1,689.43 and 752.12

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Solution

The fourth proportional to 1,223.57, 1,689.43 and 752.12 is: 1,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.57 : 1,689.43 = 752.12 : x
  2. Step 2: Convert to fraction form
    1,223.57/1,689.43 = 752.12/x
  3. Step 3: Cross multiply
    1,223.57x = 1,689.43 × 752.12
  4. Step 4: Simplify right side
    1,223.57x = 1,270,656.43
  5. Step 5: Solve for x
    x = 1,270,656.43/1,223.57
  6. Step 6: Final answer
    x = 1,038.48

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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.