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Finding the Fourth Proportional to 1,492.05, 2,237.52 and 567.85

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Solution

The fourth proportional to 1,492.05, 2,237.52 and 567.85 is: 851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.05 : 2,237.52 = 567.85 : x
  2. Step 2: Convert to fraction form
    1,492.05/2,237.52 = 567.85/x
  3. Step 3: Cross multiply
    1,492.05x = 2,237.52 × 567.85
  4. Step 4: Simplify right side
    1,492.05x = 1,270,575.73
  5. Step 5: Solve for x
    x = 1,270,575.73/1,492.05
  6. Step 6: Final answer
    x = 851.56

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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.