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Finding the Fourth Proportional to 1,061.22, 1,464.14 and 688.49

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Solution

The fourth proportional to 1,061.22, 1,464.14 and 688.49 is: 949.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.22 : 1,464.14 = 688.49 : x
  2. Step 2: Convert to fraction form
    1,061.22/1,464.14 = 688.49/x
  3. Step 3: Cross multiply
    1,061.22x = 1,464.14 × 688.49
  4. Step 4: Simplify right side
    1,061.22x = 1,008,045.75
  5. Step 5: Solve for x
    x = 1,008,045.75/1,061.22
  6. Step 6: Final answer
    x = 949.89

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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.