Home / 1,296.12-1,788.64-706.66

Finding the Fourth Proportional to 1,296.12, 1,788.64 and 706.66

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Solution

The fourth proportional to 1,296.12, 1,788.64 and 706.66 is: 975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.12 : 1,788.64 = 706.66 : x
  2. Step 2: Convert to fraction form
    1,296.12/1,788.64 = 706.66/x
  3. Step 3: Cross multiply
    1,296.12x = 1,788.64 × 706.66
  4. Step 4: Simplify right side
    1,296.12x = 1,263,960.34
  5. Step 5: Solve for x
    x = 1,263,960.34/1,296.12
  6. Step 6: Final answer
    x = 975.19

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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.