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Finding the Fourth Proportional to 1,064.46, 1,468.42 and 691.65

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Solution

The fourth proportional to 1,064.46, 1,468.42 and 691.65 is: 954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.46 : 1,468.42 = 691.65 : x
  2. Step 2: Convert to fraction form
    1,064.46/1,468.42 = 691.65/x
  3. Step 3: Cross multiply
    1,064.46x = 1,468.42 × 691.65
  4. Step 4: Simplify right side
    1,064.46x = 1,015,632.69
  5. Step 5: Solve for x
    x = 1,015,632.69/1,064.46
  6. Step 6: Final answer
    x = 954.13

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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.