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Finding the Fourth Proportional to 839.76, 1,158.64 and 587.68

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Solution

The fourth proportional to 839.76, 1,158.64 and 587.68 is: 810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.76 : 1,158.64 = 587.68 : x
  2. Step 2: Convert to fraction form
    839.76/1,158.64 = 587.68/x
  3. Step 3: Cross multiply
    839.76x = 1,158.64 × 587.68
  4. Step 4: Simplify right side
    839.76x = 680,909.56
  5. Step 5: Solve for x
    x = 680,909.56/839.76
  6. Step 6: Final answer
    x = 810.84

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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.