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Finding the Fourth Proportional to 1,477.65, 2,216.67 and 437.73

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Solution

The fourth proportional to 1,477.65, 2,216.67 and 437.73 is: 656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.65 : 2,216.67 = 437.73 : x
  2. Step 2: Convert to fraction form
    1,477.65/2,216.67 = 437.73/x
  3. Step 3: Cross multiply
    1,477.65x = 2,216.67 × 437.73
  4. Step 4: Simplify right side
    1,477.65x = 970,302.96
  5. Step 5: Solve for x
    x = 970,302.96/1,477.65
  6. Step 6: Final answer
    x = 656.65

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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.