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Finding the Fourth Proportional to 717.35, 1,077.64 and 696.29

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Solution

The fourth proportional to 717.35, 1,077.64 and 696.29 is: 1,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.35 : 1,077.64 = 696.29 : x
  2. Step 2: Convert to fraction form
    717.35/1,077.64 = 696.29/x
  3. Step 3: Cross multiply
    717.35x = 1,077.64 × 696.29
  4. Step 4: Simplify right side
    717.35x = 750,342.83
  5. Step 5: Solve for x
    x = 750,342.83/717.35
  6. Step 6: Final answer
    x = 1,046.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.