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Finding the Fourth Proportional to 1,317.97, 1,974.52 and 770.01

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Solution

The fourth proportional to 1,317.97, 1,974.52 and 770.01 is: 1,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.97 : 1,974.52 = 770.01 : x
  2. Step 2: Convert to fraction form
    1,317.97/1,974.52 = 770.01/x
  3. Step 3: Cross multiply
    1,317.97x = 1,974.52 × 770.01
  4. Step 4: Simplify right side
    1,317.97x = 1,520,400.15
  5. Step 5: Solve for x
    x = 1,520,400.15/1,317.97
  6. Step 6: Final answer
    x = 1,153.59

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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.