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Finding the Fourth Proportional to 1,064.15, 1,469.93 and 887.69

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Solution

The fourth proportional to 1,064.15, 1,469.93 and 887.69 is: 1,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.15 : 1,469.93 = 887.69 : x
  2. Step 2: Convert to fraction form
    1,064.15/1,469.93 = 887.69/x
  3. Step 3: Cross multiply
    1,064.15x = 1,469.93 × 887.69
  4. Step 4: Simplify right side
    1,064.15x = 1,304,842.16
  5. Step 5: Solve for x
    x = 1,304,842.16/1,064.15
  6. Step 6: Final answer
    x = 1,226.18

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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.