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Finding the Fourth Proportional to 1,376.76, 1,900.36 and 787.69

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Solution

The fourth proportional to 1,376.76, 1,900.36 and 787.69 is: 1,087.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.76 : 1,900.36 = 787.69 : x
  2. Step 2: Convert to fraction form
    1,376.76/1,900.36 = 787.69/x
  3. Step 3: Cross multiply
    1,376.76x = 1,900.36 × 787.69
  4. Step 4: Simplify right side
    1,376.76x = 1,496,897.93
  5. Step 5: Solve for x
    x = 1,496,897.93/1,376.76
  6. Step 6: Final answer
    x = 1,087.26

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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.