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Finding the Fourth Proportional to 932.80, 1,287.30 and 583.36

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Solution

The fourth proportional to 932.80, 1,287.30 and 583.36 is: 805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.80 : 1,287.30 = 583.36 : x
  2. Step 2: Convert to fraction form
    932.80/1,287.30 = 583.36/x
  3. Step 3: Cross multiply
    932.80x = 1,287.30 × 583.36
  4. Step 4: Simplify right side
    932.80x = 750,959.33
  5. Step 5: Solve for x
    x = 750,959.33/932.80
  6. Step 6: Final answer
    x = 805.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.