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Finding the Fourth Proportional to 1,464.64, 2,197.78 and 598.76

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Solution

The fourth proportional to 1,464.64, 2,197.78 and 598.76 is: 898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.64 : 2,197.78 = 598.76 : x
  2. Step 2: Convert to fraction form
    1,464.64/2,197.78 = 598.76/x
  3. Step 3: Cross multiply
    1,464.64x = 2,197.78 × 598.76
  4. Step 4: Simplify right side
    1,464.64x = 1,315,942.75
  5. Step 5: Solve for x
    x = 1,315,942.75/1,464.64
  6. Step 6: Final answer
    x = 898.48

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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.