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Finding the Fourth Proportional to 1,215.10, 1,822.66 and 782.56

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Solution

The fourth proportional to 1,215.10, 1,822.66 and 782.56 is: 1,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.10 : 1,822.66 = 782.56 : x
  2. Step 2: Convert to fraction form
    1,215.10/1,822.66 = 782.56/x
  3. Step 3: Cross multiply
    1,215.10x = 1,822.66 × 782.56
  4. Step 4: Simplify right side
    1,215.10x = 1,426,340.81
  5. Step 5: Solve for x
    x = 1,426,340.81/1,215.10
  6. Step 6: Final answer
    x = 1,173.85

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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.