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Finding the Fourth Proportional to 1,296.63, 1,789.32 and 707.16

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Solution

The fourth proportional to 1,296.63, 1,789.32 and 707.16 is: 975.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.63 : 1,789.32 = 707.16 : x
  2. Step 2: Convert to fraction form
    1,296.63/1,789.32 = 707.16/x
  3. Step 3: Cross multiply
    1,296.63x = 1,789.32 × 707.16
  4. Step 4: Simplify right side
    1,296.63x = 1,265,335.53
  5. Step 5: Solve for x
    x = 1,265,335.53/1,296.63
  6. Step 6: Final answer
    x = 975.86

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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.