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Finding the Fourth Proportional to 879.36, 1,316.30 and 587.10

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Solution

The fourth proportional to 879.36, 1,316.30 and 587.10 is: 878.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.36 : 1,316.30 = 587.10 : x
  2. Step 2: Convert to fraction form
    879.36/1,316.30 = 587.10/x
  3. Step 3: Cross multiply
    879.36x = 1,316.30 × 587.10
  4. Step 4: Simplify right side
    879.36x = 772,796.79
  5. Step 5: Solve for x
    x = 772,796.79/879.36
  6. Step 6: Final answer
    x = 878.82

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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.