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Finding the Fourth Proportional to 961.05, 1,442.03 and 571.82

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Solution

The fourth proportional to 961.05, 1,442.03 and 571.82 is: 858.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.05 : 1,442.03 = 571.82 : x
  2. Step 2: Convert to fraction form
    961.05/1,442.03 = 571.82/x
  3. Step 3: Cross multiply
    961.05x = 1,442.03 × 571.82
  4. Step 4: Simplify right side
    961.05x = 824,575.85
  5. Step 5: Solve for x
    x = 824,575.85/961.05
  6. Step 6: Final answer
    x = 858.00

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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.