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Finding the Fourth Proportional to 709.44, 1,068.66 and 656

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Solution

The fourth proportional to 709.44, 1,068.66 and 656 is: 988.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.44 : 1,068.66 = 656 : x
  2. Step 2: Convert to fraction form
    709.44/1,068.66 = 656/x
  3. Step 3: Cross multiply
    709.44x = 1,068.66 × 656
  4. Step 4: Simplify right side
    709.44x = 701,040.96
  5. Step 5: Solve for x
    x = 701,040.96/709.44
  6. Step 6: Final answer
    x = 988.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.