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Finding the Fourth Proportional to 1,224.78, 1,689.63 and 925.49

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Solution

The fourth proportional to 1,224.78, 1,689.63 and 925.49 is: 1,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.78 : 1,689.63 = 925.49 : x
  2. Step 2: Convert to fraction form
    1,224.78/1,689.63 = 925.49/x
  3. Step 3: Cross multiply
    1,224.78x = 1,689.63 × 925.49
  4. Step 4: Simplify right side
    1,224.78x = 1,563,729.53
  5. Step 5: Solve for x
    x = 1,563,729.53/1,224.78
  6. Step 6: Final answer
    x = 1,276.74

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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.