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Finding the Fourth Proportional to 1,525.47, 2,288.52 and 794.85

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Solution

The fourth proportional to 1,525.47, 2,288.52 and 794.85 is: 1,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.47 : 2,288.52 = 794.85 : x
  2. Step 2: Convert to fraction form
    1,525.47/2,288.52 = 794.85/x
  3. Step 3: Cross multiply
    1,525.47x = 2,288.52 × 794.85
  4. Step 4: Simplify right side
    1,525.47x = 1,819,030.12
  5. Step 5: Solve for x
    x = 1,819,030.12/1,525.47
  6. Step 6: Final answer
    x = 1,192.44

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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.