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Finding the Fourth Proportional to 704.44, 1,052.93 and 689.86

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Solution

The fourth proportional to 704.44, 1,052.93 and 689.86 is: 1,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.44 : 1,052.93 = 689.86 : x
  2. Step 2: Convert to fraction form
    704.44/1,052.93 = 689.86/x
  3. Step 3: Cross multiply
    704.44x = 1,052.93 × 689.86
  4. Step 4: Simplify right side
    704.44x = 726,374.29
  5. Step 5: Solve for x
    x = 726,374.29/704.44
  6. Step 6: Final answer
    x = 1,031.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.