Home / 1,535.08-2,302.68-494.95

Finding the Fourth Proportional to 1,535.08, 2,302.68 and 494.95

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Solution

The fourth proportional to 1,535.08, 2,302.68 and 494.95 is: 742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.08 : 2,302.68 = 494.95 : x
  2. Step 2: Convert to fraction form
    1,535.08/2,302.68 = 494.95/x
  3. Step 3: Cross multiply
    1,535.08x = 2,302.68 × 494.95
  4. Step 4: Simplify right side
    1,535.08x = 1,139,697.48
  5. Step 5: Solve for x
    x = 1,139,697.48/1,535.08
  6. Step 6: Final answer
    x = 742.44

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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.