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Finding the Fourth Proportional to 1,484.64, 2,226.72 and 458.56

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Solution

The fourth proportional to 1,484.64, 2,226.72 and 458.56 is: 687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.64 : 2,226.72 = 458.56 : x
  2. Step 2: Convert to fraction form
    1,484.64/2,226.72 = 458.56/x
  3. Step 3: Cross multiply
    1,484.64x = 2,226.72 × 458.56
  4. Step 4: Simplify right side
    1,484.64x = 1,021,084.72
  5. Step 5: Solve for x
    x = 1,021,084.72/1,484.64
  6. Step 6: Final answer
    x = 687.77

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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.