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Finding the Fourth Proportional to 1,254.44, 1,882.30 and 597.06

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Solution

The fourth proportional to 1,254.44, 1,882.30 and 597.06 is: 895.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.44 : 1,882.30 = 597.06 : x
  2. Step 2: Convert to fraction form
    1,254.44/1,882.30 = 597.06/x
  3. Step 3: Cross multiply
    1,254.44x = 1,882.30 × 597.06
  4. Step 4: Simplify right side
    1,254.44x = 1,123,833.64
  5. Step 5: Solve for x
    x = 1,123,833.64/1,254.44
  6. Step 6: Final answer
    x = 895.89

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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.