Home / 1,497.12-2,245.44-471.04

Finding the Fourth Proportional to 1,497.12, 2,245.44 and 471.04

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Solution

The fourth proportional to 1,497.12, 2,245.44 and 471.04 is: 706.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.12 : 2,245.44 = 471.04 : x
  2. Step 2: Convert to fraction form
    1,497.12/2,245.44 = 471.04/x
  3. Step 3: Cross multiply
    1,497.12x = 2,245.44 × 471.04
  4. Step 4: Simplify right side
    1,497.12x = 1,057,692.06
  5. Step 5: Solve for x
    x = 1,057,692.06/1,497.12
  6. Step 6: Final answer
    x = 706.48

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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.