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Finding the Fourth Proportional to 1,231.52, 1,699.68 and 707.58

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Solution

The fourth proportional to 1,231.52, 1,699.68 and 707.58 is: 976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.52 : 1,699.68 = 707.58 : x
  2. Step 2: Convert to fraction form
    1,231.52/1,699.68 = 707.58/x
  3. Step 3: Cross multiply
    1,231.52x = 1,699.68 × 707.58
  4. Step 4: Simplify right side
    1,231.52x = 1,202,659.57
  5. Step 5: Solve for x
    x = 1,202,659.57/1,231.52
  6. Step 6: Final answer
    x = 976.57

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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.