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Finding the Fourth Proportional to 1,296.42, 1,789.13 and 706.97

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Solution

The fourth proportional to 1,296.42, 1,789.13 and 706.97 is: 975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.42 : 1,789.13 = 706.97 : x
  2. Step 2: Convert to fraction form
    1,296.42/1,789.13 = 706.97/x
  3. Step 3: Cross multiply
    1,296.42x = 1,789.13 × 706.97
  4. Step 4: Simplify right side
    1,296.42x = 1,264,854.06
  5. Step 5: Solve for x
    x = 1,264,854.06/1,296.42
  6. Step 6: Final answer
    x = 975.65

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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.