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Finding the Fourth Proportional to 1,112.31, 1,534.48 and 719.46

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Solution

The fourth proportional to 1,112.31, 1,534.48 and 719.46 is: 992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.31 : 1,534.48 = 719.46 : x
  2. Step 2: Convert to fraction form
    1,112.31/1,534.48 = 719.46/x
  3. Step 3: Cross multiply
    1,112.31x = 1,534.48 × 719.46
  4. Step 4: Simplify right side
    1,112.31x = 1,103,995.18
  5. Step 5: Solve for x
    x = 1,103,995.18/1,112.31
  6. Step 6: Final answer
    x = 992.52

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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.