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Finding the Fourth Proportional to 1,154.39, 1,593.03 and 675.89

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Solution

The fourth proportional to 1,154.39, 1,593.03 and 675.89 is: 932.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.39 : 1,593.03 = 675.89 : x
  2. Step 2: Convert to fraction form
    1,154.39/1,593.03 = 675.89/x
  3. Step 3: Cross multiply
    1,154.39x = 1,593.03 × 675.89
  4. Step 4: Simplify right side
    1,154.39x = 1,076,718.72
  5. Step 5: Solve for x
    x = 1,076,718.72/1,154.39
  6. Step 6: Final answer
    x = 932.72

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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.