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Finding the Fourth Proportional to 949.78, 1,310.14 and 595.08

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Solution

The fourth proportional to 949.78, 1,310.14 and 595.08 is: 820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.78 : 1,310.14 = 595.08 : x
  2. Step 2: Convert to fraction form
    949.78/1,310.14 = 595.08/x
  3. Step 3: Cross multiply
    949.78x = 1,310.14 × 595.08
  4. Step 4: Simplify right side
    949.78x = 779,638.11
  5. Step 5: Solve for x
    x = 779,638.11/949.78
  6. Step 6: Final answer
    x = 820.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.