Home / 1,160.24-1,601.40-745.52

Finding the Fourth Proportional to 1,160.24, 1,601.40 and 745.52

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Solution

The fourth proportional to 1,160.24, 1,601.40 and 745.52 is: 1,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.24 : 1,601.40 = 745.52 : x
  2. Step 2: Convert to fraction form
    1,160.24/1,601.40 = 745.52/x
  3. Step 3: Cross multiply
    1,160.24x = 1,601.40 × 745.52
  4. Step 4: Simplify right side
    1,160.24x = 1,193,875.73
  5. Step 5: Solve for x
    x = 1,193,875.73/1,160.24
  6. Step 6: Final answer
    x = 1,028.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.