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Finding the Fourth Proportional to 1,112.71, 1,534.88 and 714.23

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Solution

The fourth proportional to 1,112.71, 1,534.88 and 714.23 is: 985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.71 : 1,534.88 = 714.23 : x
  2. Step 2: Convert to fraction form
    1,112.71/1,534.88 = 714.23/x
  3. Step 3: Cross multiply
    1,112.71x = 1,534.88 × 714.23
  4. Step 4: Simplify right side
    1,112.71x = 1,096,257.34
  5. Step 5: Solve for x
    x = 1,096,257.34/1,112.71
  6. Step 6: Final answer
    x = 985.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.