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Finding the Fourth Proportional to 1,231.80, 1,700.06 and 707.82

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Solution

The fourth proportional to 1,231.80, 1,700.06 and 707.82 is: 976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.80 : 1,700.06 = 707.82 : x
  2. Step 2: Convert to fraction form
    1,231.80/1,700.06 = 707.82/x
  3. Step 3: Cross multiply
    1,231.80x = 1,700.06 × 707.82
  4. Step 4: Simplify right side
    1,231.80x = 1,203,332.93
  5. Step 5: Solve for x
    x = 1,203,332.93/1,231.80
  6. Step 6: Final answer
    x = 976.89

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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.