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Finding the Fourth Proportional to 777.83, 1,165.32 and 648.02

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Solution

The fourth proportional to 777.83, 1,165.32 and 648.02 is: 970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.83 : 1,165.32 = 648.02 : x
  2. Step 2: Convert to fraction form
    777.83/1,165.32 = 648.02/x
  3. Step 3: Cross multiply
    777.83x = 1,165.32 × 648.02
  4. Step 4: Simplify right side
    777.83x = 755,153.58
  5. Step 5: Solve for x
    x = 755,153.58/777.83
  6. Step 6: Final answer
    x = 970.85

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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.