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Finding the Fourth Proportional to 1,255.04, 1,882.85 and 433.32

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Solution

The fourth proportional to 1,255.04, 1,882.85 and 433.32 is: 650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.04 : 1,882.85 = 433.32 : x
  2. Step 2: Convert to fraction form
    1,255.04/1,882.85 = 433.32/x
  3. Step 3: Cross multiply
    1,255.04x = 1,882.85 × 433.32
  4. Step 4: Simplify right side
    1,255.04x = 815,870.58
  5. Step 5: Solve for x
    x = 815,870.58/1,255.04
  6. Step 6: Final answer
    x = 650.08

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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.