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Finding the Fourth Proportional to 1,107.92, 1,528.89 and 715.34

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Solution

The fourth proportional to 1,107.92, 1,528.89 and 715.34 is: 987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.92 : 1,528.89 = 715.34 : x
  2. Step 2: Convert to fraction form
    1,107.92/1,528.89 = 715.34/x
  3. Step 3: Cross multiply
    1,107.92x = 1,528.89 × 715.34
  4. Step 4: Simplify right side
    1,107.92x = 1,093,676.17
  5. Step 5: Solve for x
    x = 1,093,676.17/1,107.92
  6. Step 6: Final answer
    x = 987.14

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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.