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Finding the Fourth Proportional to 1,061.64, 1,585.14 and 996.06

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Solution

The fourth proportional to 1,061.64, 1,585.14 and 996.06 is: 1,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.64 : 1,585.14 = 996.06 : x
  2. Step 2: Convert to fraction form
    1,061.64/1,585.14 = 996.06/x
  3. Step 3: Cross multiply
    1,061.64x = 1,585.14 × 996.06
  4. Step 4: Simplify right side
    1,061.64x = 1,578,894.55
  5. Step 5: Solve for x
    x = 1,578,894.55/1,061.64
  6. Step 6: Final answer
    x = 1,487.22

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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.