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Finding the Fourth Proportional to 851.39, 1,275.75 and 591.90

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Solution

The fourth proportional to 851.39, 1,275.75 and 591.90 is: 886.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.39 : 1,275.75 = 591.90 : x
  2. Step 2: Convert to fraction form
    851.39/1,275.75 = 591.90/x
  3. Step 3: Cross multiply
    851.39x = 1,275.75 × 591.90
  4. Step 4: Simplify right side
    851.39x = 755,111.53
  5. Step 5: Solve for x
    x = 755,111.53/851.39
  6. Step 6: Final answer
    x = 886.91

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