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Finding the Fourth Proportional to 1,530.80, 2,295.44 and 750.88

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Solution

The fourth proportional to 1,530.80, 2,295.44 and 750.88 is: 1,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.80 : 2,295.44 = 750.88 : x
  2. Step 2: Convert to fraction form
    1,530.80/2,295.44 = 750.88/x
  3. Step 3: Cross multiply
    1,530.80x = 2,295.44 × 750.88
  4. Step 4: Simplify right side
    1,530.80x = 1,723,599.99
  5. Step 5: Solve for x
    x = 1,723,599.99/1,530.80
  6. Step 6: Final answer
    x = 1,125.95

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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.