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Finding the Fourth Proportional to 1,435.98, 1,982.44 and 876.58

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Solution

The fourth proportional to 1,435.98, 1,982.44 and 876.58 is: 1,210.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.98 : 1,982.44 = 876.58 : x
  2. Step 2: Convert to fraction form
    1,435.98/1,982.44 = 876.58/x
  3. Step 3: Cross multiply
    1,435.98x = 1,982.44 × 876.58
  4. Step 4: Simplify right side
    1,435.98x = 1,737,767.26
  5. Step 5: Solve for x
    x = 1,737,767.26/1,435.98
  6. Step 6: Final answer
    x = 1,210.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.