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Finding the Fourth Proportional to 911.12, 1,258.13 and 714.29

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Solution

The fourth proportional to 911.12, 1,258.13 and 714.29 is: 986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.12 : 1,258.13 = 714.29 : x
  2. Step 2: Convert to fraction form
    911.12/1,258.13 = 714.29/x
  3. Step 3: Cross multiply
    911.12x = 1,258.13 × 714.29
  4. Step 4: Simplify right side
    911.12x = 898,665.17
  5. Step 5: Solve for x
    x = 898,665.17/911.12
  6. Step 6: Final answer
    x = 986.34

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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.