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Finding the Fourth Proportional to 758.76, 1,043.30 and 648.05

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Solution

The fourth proportional to 758.76, 1,043.30 and 648.05 is: 891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.76 : 1,043.30 = 648.05 : x
  2. Step 2: Convert to fraction form
    758.76/1,043.30 = 648.05/x
  3. Step 3: Cross multiply
    758.76x = 1,043.30 × 648.05
  4. Step 4: Simplify right side
    758.76x = 676,102.11
  5. Step 5: Solve for x
    x = 676,102.11/758.76
  6. Step 6: Final answer
    x = 891.06

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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.