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Finding the Fourth Proportional to 969.77, 1,454.66 and 276.45

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Solution

The fourth proportional to 969.77, 1,454.66 and 276.45 is: 414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.77 : 1,454.66 = 276.45 : x
  2. Step 2: Convert to fraction form
    969.77/1,454.66 = 276.45/x
  3. Step 3: Cross multiply
    969.77x = 1,454.66 × 276.45
  4. Step 4: Simplify right side
    969.77x = 402,139.37
  5. Step 5: Solve for x
    x = 402,139.37/969.77
  6. Step 6: Final answer
    x = 414.68

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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.