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Finding the Fourth Proportional to 1,110.74, 1,532.28 and 690.95

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Solution

The fourth proportional to 1,110.74, 1,532.28 and 690.95 is: 953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.74 : 1,532.28 = 690.95 : x
  2. Step 2: Convert to fraction form
    1,110.74/1,532.28 = 690.95/x
  3. Step 3: Cross multiply
    1,110.74x = 1,532.28 × 690.95
  4. Step 4: Simplify right side
    1,110.74x = 1,058,735.29
  5. Step 5: Solve for x
    x = 1,058,735.29/1,110.74
  6. Step 6: Final answer
    x = 953.18

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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.