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Finding the Fourth Proportional to 1,107.32, 1,528.46 and 714.04

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Solution

The fourth proportional to 1,107.32, 1,528.46 and 714.04 is: 985.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.32 : 1,528.46 = 714.04 : x
  2. Step 2: Convert to fraction form
    1,107.32/1,528.46 = 714.04/x
  3. Step 3: Cross multiply
    1,107.32x = 1,528.46 × 714.04
  4. Step 4: Simplify right side
    1,107.32x = 1,091,381.58
  5. Step 5: Solve for x
    x = 1,091,381.58/1,107.32
  6. Step 6: Final answer
    x = 985.61

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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.