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Finding the Fourth Proportional to 949.95, 1,310.96 and 557

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Solution

The fourth proportional to 949.95, 1,310.96 and 557 is: 768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.95 : 1,310.96 = 557 : x
  2. Step 2: Convert to fraction form
    949.95/1,310.96 = 557/x
  3. Step 3: Cross multiply
    949.95x = 1,310.96 × 557
  4. Step 4: Simplify right side
    949.95x = 730,204.72
  5. Step 5: Solve for x
    x = 730,204.72/949.95
  6. Step 6: Final answer
    x = 768.68

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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.