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Finding the Fourth Proportional to 879.36, 1,316.28 and 586.32

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Solution

The fourth proportional to 879.36, 1,316.28 and 586.32 is: 877.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.36 : 1,316.28 = 586.32 : x
  2. Step 2: Convert to fraction form
    879.36/1,316.28 = 586.32/x
  3. Step 3: Cross multiply
    879.36x = 1,316.28 × 586.32
  4. Step 4: Simplify right side
    879.36x = 771,761.29
  5. Step 5: Solve for x
    x = 771,761.29/879.36
  6. Step 6: Final answer
    x = 877.64

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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.