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Finding the Fourth Proportional to 703.76, 966.16 and 645.44

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Solution

The fourth proportional to 703.76, 966.16 and 645.44 is: 886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.76 : 966.16 = 645.44 : x
  2. Step 2: Convert to fraction form
    703.76/966.16 = 645.44/x
  3. Step 3: Cross multiply
    703.76x = 966.16 × 645.44
  4. Step 4: Simplify right side
    703.76x = 623,598.31
  5. Step 5: Solve for x
    x = 623,598.31/703.76
  6. Step 6: Final answer
    x = 886.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.