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Finding the Fourth Proportional to 867.70, 1,301.55 and 713.80

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Solution

The fourth proportional to 867.70, 1,301.55 and 713.80 is: 1,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.70 : 1,301.55 = 713.80 : x
  2. Step 2: Convert to fraction form
    867.70/1,301.55 = 713.80/x
  3. Step 3: Cross multiply
    867.70x = 1,301.55 × 713.80
  4. Step 4: Simplify right side
    867.70x = 929,046.39
  5. Step 5: Solve for x
    x = 929,046.39/867.70
  6. Step 6: Final answer
    x = 1,070.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.