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Finding the Fourth Proportional to 969.77, 1,454.76 and 558.90

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Solution

The fourth proportional to 969.77, 1,454.76 and 558.90 is: 838.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.77 : 1,454.76 = 558.90 : x
  2. Step 2: Convert to fraction form
    969.77/1,454.76 = 558.90/x
  3. Step 3: Cross multiply
    969.77x = 1,454.76 × 558.90
  4. Step 4: Simplify right side
    969.77x = 813,065.36
  5. Step 5: Solve for x
    x = 813,065.36/969.77
  6. Step 6: Final answer
    x = 838.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.