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Finding the Fourth Proportional to 1,484.65, 2,225.43 and 559.57

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Solution

The fourth proportional to 1,484.65, 2,225.43 and 559.57 is: 838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,484.65 : 2,225.43 = 559.57 : x
  2. Step 2: Convert to fraction form
    1,484.65/2,225.43 = 559.57/x
  3. Step 3: Cross multiply
    1,484.65x = 2,225.43 × 559.57
  4. Step 4: Simplify right side
    1,484.65x = 1,245,283.87
  5. Step 5: Solve for x
    x = 1,245,283.87/1,484.65
  6. Step 6: Final answer
    x = 838.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.