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Finding the Fourth Proportional to 1,112, 1,534.72 and 698.88

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Solution

The fourth proportional to 1,112, 1,534.72 and 698.88 is: 964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112 : 1,534.72 = 698.88 : x
  2. Step 2: Convert to fraction form
    1,112/1,534.72 = 698.88/x
  3. Step 3: Cross multiply
    1,112x = 1,534.72 × 698.88
  4. Step 4: Simplify right side
    1,112x = 1,072,585.11
  5. Step 5: Solve for x
    x = 1,072,585.11/1,112
  6. Step 6: Final answer
    x = 964.55

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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.