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Finding the Fourth Proportional to 1,374.29, 2,064.81 and 880.91

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Solution

The fourth proportional to 1,374.29, 2,064.81 and 880.91 is: 1,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374.29 : 2,064.81 = 880.91 : x
  2. Step 2: Convert to fraction form
    1,374.29/2,064.81 = 880.91/x
  3. Step 3: Cross multiply
    1,374.29x = 2,064.81 × 880.91
  4. Step 4: Simplify right side
    1,374.29x = 1,818,912.50
  5. Step 5: Solve for x
    x = 1,818,912.50/1,374.29
  6. Step 6: Final answer
    x = 1,323.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.