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Finding the Fourth Proportional to 1,317.92, 1,977.82 and 770.26

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Solution

The fourth proportional to 1,317.92, 1,977.82 and 770.26 is: 1,155.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.92 : 1,977.82 = 770.26 : x
  2. Step 2: Convert to fraction form
    1,317.92/1,977.82 = 770.26/x
  3. Step 3: Cross multiply
    1,317.92x = 1,977.82 × 770.26
  4. Step 4: Simplify right side
    1,317.92x = 1,523,435.63
  5. Step 5: Solve for x
    x = 1,523,435.63/1,317.92
  6. Step 6: Final answer
    x = 1,155.94

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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.