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Finding the Fourth Proportional to 1,311.56, 1,810.06 and 787.58

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Solution

The fourth proportional to 1,311.56, 1,810.06 and 787.58 is: 1,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.56 : 1,810.06 = 787.58 : x
  2. Step 2: Convert to fraction form
    1,311.56/1,810.06 = 787.58/x
  3. Step 3: Cross multiply
    1,311.56x = 1,810.06 × 787.58
  4. Step 4: Simplify right side
    1,311.56x = 1,425,567.05
  5. Step 5: Solve for x
    x = 1,425,567.05/1,311.56
  6. Step 6: Final answer
    x = 1,086.92

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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.