Home / 1,296.60-1,789.34-707.14

Finding the Fourth Proportional to 1,296.60, 1,789.34 and 707.14

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Solution

The fourth proportional to 1,296.60, 1,789.34 and 707.14 is: 975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.60 : 1,789.34 = 707.14 : x
  2. Step 2: Convert to fraction form
    1,296.60/1,789.34 = 707.14/x
  3. Step 3: Cross multiply
    1,296.60x = 1,789.34 × 707.14
  4. Step 4: Simplify right side
    1,296.60x = 1,265,313.89
  5. Step 5: Solve for x
    x = 1,265,313.89/1,296.60
  6. Step 6: Final answer
    x = 975.87

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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.