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Finding the Fourth Proportional to 1,530.60, 2,295.55 and 749.82

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Solution

The fourth proportional to 1,530.60, 2,295.55 and 749.82 is: 1,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.60 : 2,295.55 = 749.82 : x
  2. Step 2: Convert to fraction form
    1,530.60/2,295.55 = 749.82/x
  3. Step 3: Cross multiply
    1,530.60x = 2,295.55 × 749.82
  4. Step 4: Simplify right side
    1,530.60x = 1,721,249.30
  5. Step 5: Solve for x
    x = 1,721,249.30/1,530.60
  6. Step 6: Final answer
    x = 1,124.56

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