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Finding the Fourth Proportional to 1,397.77, 1,928.10 and 872.89

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Solution

The fourth proportional to 1,397.77, 1,928.10 and 872.89 is: 1,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.77 : 1,928.10 = 872.89 : x
  2. Step 2: Convert to fraction form
    1,397.77/1,928.10 = 872.89/x
  3. Step 3: Cross multiply
    1,397.77x = 1,928.10 × 872.89
  4. Step 4: Simplify right side
    1,397.77x = 1,683,019.21
  5. Step 5: Solve for x
    x = 1,683,019.21/1,397.77
  6. Step 6: Final answer
    x = 1,204.07

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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.