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Finding the Fourth Proportional to 1,411.56, 1,948.28 and 852.04

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Solution

The fourth proportional to 1,411.56, 1,948.28 and 852.04 is: 1,176.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.56 : 1,948.28 = 852.04 : x
  2. Step 2: Convert to fraction form
    1,411.56/1,948.28 = 852.04/x
  3. Step 3: Cross multiply
    1,411.56x = 1,948.28 × 852.04
  4. Step 4: Simplify right side
    1,411.56x = 1,660,012.49
  5. Step 5: Solve for x
    x = 1,660,012.49/1,411.56
  6. Step 6: Final answer
    x = 1,176.01

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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.