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Finding the Fourth Proportional to 961.85, 1,442.70 and 549.69

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Solution

The fourth proportional to 961.85, 1,442.70 and 549.69 is: 824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.85 : 1,442.70 = 549.69 : x
  2. Step 2: Convert to fraction form
    961.85/1,442.70 = 549.69/x
  3. Step 3: Cross multiply
    961.85x = 1,442.70 × 549.69
  4. Step 4: Simplify right side
    961.85x = 793,037.76
  5. Step 5: Solve for x
    x = 793,037.76/961.85
  6. Step 6: Final answer
    x = 824.50

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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.