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Finding the Fourth Proportional to 1,002.80, 1,383.84 and 588.80

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Solution

The fourth proportional to 1,002.80, 1,383.84 and 588.80 is: 812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.80 : 1,383.84 = 588.80 : x
  2. Step 2: Convert to fraction form
    1,002.80/1,383.84 = 588.80/x
  3. Step 3: Cross multiply
    1,002.80x = 1,383.84 × 588.80
  4. Step 4: Simplify right side
    1,002.80x = 814,804.99
  5. Step 5: Solve for x
    x = 814,804.99/1,002.80
  6. Step 6: Final answer
    x = 812.53

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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.