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Finding the Fourth Proportional to 1,317.68, 1,973.98 and 768.74

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Solution

The fourth proportional to 1,317.68, 1,973.98 and 768.74 is: 1,151.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.68 : 1,973.98 = 768.74 : x
  2. Step 2: Convert to fraction form
    1,317.68/1,973.98 = 768.74/x
  3. Step 3: Cross multiply
    1,317.68x = 1,973.98 × 768.74
  4. Step 4: Simplify right side
    1,317.68x = 1,517,477.39
  5. Step 5: Solve for x
    x = 1,517,477.39/1,317.68
  6. Step 6: Final answer
    x = 1,151.63

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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.