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Finding the Fourth Proportional to 696.13, 958.47 and 591.00

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Solution

The fourth proportional to 696.13, 958.47 and 591.00 is: 813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.13 : 958.47 = 591.00 : x
  2. Step 2: Convert to fraction form
    696.13/958.47 = 591.00/x
  3. Step 3: Cross multiply
    696.13x = 958.47 × 591.00
  4. Step 4: Simplify right side
    696.13x = 566,456.79
  5. Step 5: Solve for x
    x = 566,456.79/696.13
  6. Step 6: Final answer
    x = 813.72

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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.