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Finding the Fourth Proportional to 1,484.12, 2,225.84 and 559.78

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Solution

The fourth proportional to 1,484.12, 2,225.84 and 559.78 is: 839.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.12 : 2,225.84 = 559.78 : x
  2. Step 2: Convert to fraction form
    1,484.12/2,225.84 = 559.78/x
  3. Step 3: Cross multiply
    1,484.12x = 2,225.84 × 559.78
  4. Step 4: Simplify right side
    1,484.12x = 1,245,980.72
  5. Step 5: Solve for x
    x = 1,245,980.72/1,484.12
  6. Step 6: Final answer
    x = 839.54

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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.