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Finding the Fourth Proportional to 1,061.46, 1,591.74 and 946.08

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Solution

The fourth proportional to 1,061.46, 1,591.74 and 946.08 is: 1,418.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.46 : 1,591.74 = 946.08 : x
  2. Step 2: Convert to fraction form
    1,061.46/1,591.74 = 946.08/x
  3. Step 3: Cross multiply
    1,061.46x = 1,591.74 × 946.08
  4. Step 4: Simplify right side
    1,061.46x = 1,505,913.38
  5. Step 5: Solve for x
    x = 1,505,913.38/1,061.46
  6. Step 6: Final answer
    x = 1,418.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.