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Finding the Fourth Proportional to 1,822.98, 2,734.80 and 524.52

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Solution

The fourth proportional to 1,822.98, 2,734.80 and 524.52 is: 786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.98 : 2,734.80 = 524.52 : x
  2. Step 2: Convert to fraction form
    1,822.98/2,734.80 = 524.52/x
  3. Step 3: Cross multiply
    1,822.98x = 2,734.80 × 524.52
  4. Step 4: Simplify right side
    1,822.98x = 1,434,457.30
  5. Step 5: Solve for x
    x = 1,434,457.30/1,822.98
  6. Step 6: Final answer
    x = 786.87

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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.