Home / 1,157.12-1,733.52-900.08

Finding the Fourth Proportional to 1,157.12, 1,733.52 and 900.08

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Solution

The fourth proportional to 1,157.12, 1,733.52 and 900.08 is: 1,348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.12 : 1,733.52 = 900.08 : x
  2. Step 2: Convert to fraction form
    1,157.12/1,733.52 = 900.08/x
  3. Step 3: Cross multiply
    1,157.12x = 1,733.52 × 900.08
  4. Step 4: Simplify right side
    1,157.12x = 1,560,306.68
  5. Step 5: Solve for x
    x = 1,560,306.68/1,157.12
  6. Step 6: Final answer
    x = 1,348.44

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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.