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Finding the Fourth Proportional to 1,061.66, 1,585.42 and 1,050.22

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Solution

The fourth proportional to 1,061.66, 1,585.42 and 1,050.22 is: 1,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.66 : 1,585.42 = 1,050.22 : x
  2. Step 2: Convert to fraction form
    1,061.66/1,585.42 = 1,050.22/x
  3. Step 3: Cross multiply
    1,061.66x = 1,585.42 × 1,050.22
  4. Step 4: Simplify right side
    1,061.66x = 1,665,039.79
  5. Step 5: Solve for x
    x = 1,665,039.79/1,061.66
  6. Step 6: Final answer
    x = 1,568.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.