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Finding the Fourth Proportional to 949.17, 1,309.05 and 762.60

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Solution

The fourth proportional to 949.17, 1,309.05 and 762.60 is: 1,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.17 : 1,309.05 = 762.60 : x
  2. Step 2: Convert to fraction form
    949.17/1,309.05 = 762.60/x
  3. Step 3: Cross multiply
    949.17x = 1,309.05 × 762.60
  4. Step 4: Simplify right side
    949.17x = 998,281.53
  5. Step 5: Solve for x
    x = 998,281.53/949.17
  6. Step 6: Final answer
    x = 1,051.74

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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.