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Finding the Fourth Proportional to 879.64, 1,316.70 and 648.78

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Solution

The fourth proportional to 879.64, 1,316.70 and 648.78 is: 971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.64 : 1,316.70 = 648.78 : x
  2. Step 2: Convert to fraction form
    879.64/1,316.70 = 648.78/x
  3. Step 3: Cross multiply
    879.64x = 1,316.70 × 648.78
  4. Step 4: Simplify right side
    879.64x = 854,248.63
  5. Step 5: Solve for x
    x = 854,248.63/879.64
  6. Step 6: Final answer
    x = 971.13

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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.