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Finding the Fourth Proportional to 851.15, 1,275.98 and 591.63

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Solution

The fourth proportional to 851.15, 1,275.98 and 591.63 is: 886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.15 : 1,275.98 = 591.63 : x
  2. Step 2: Convert to fraction form
    851.15/1,275.98 = 591.63/x
  3. Step 3: Cross multiply
    851.15x = 1,275.98 × 591.63
  4. Step 4: Simplify right side
    851.15x = 754,905.09
  5. Step 5: Solve for x
    x = 754,905.09/851.15
  6. Step 6: Final answer
    x = 886.93

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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.