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Finding the Fourth Proportional to 1,464.89, 2,193.78 and 805.76

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Solution

The fourth proportional to 1,464.89, 2,193.78 and 805.76 is: 1,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.89 : 2,193.78 = 805.76 : x
  2. Step 2: Convert to fraction form
    1,464.89/2,193.78 = 805.76/x
  3. Step 3: Cross multiply
    1,464.89x = 2,193.78 × 805.76
  4. Step 4: Simplify right side
    1,464.89x = 1,767,660.17
  5. Step 5: Solve for x
    x = 1,767,660.17/1,464.89
  6. Step 6: Final answer
    x = 1,206.68

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1.5x scale

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.