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Finding the Fourth Proportional to 1,435.96, 1,982.10 and 876.79

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Solution

The fourth proportional to 1,435.96, 1,982.10 and 876.79 is: 1,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.96 : 1,982.10 = 876.79 : x
  2. Step 2: Convert to fraction form
    1,435.96/1,982.10 = 876.79/x
  3. Step 3: Cross multiply
    1,435.96x = 1,982.10 × 876.79
  4. Step 4: Simplify right side
    1,435.96x = 1,737,885.46
  5. Step 5: Solve for x
    x = 1,737,885.46/1,435.96
  6. Step 6: Final answer
    x = 1,210.26

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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.