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Finding the Fourth Proportional to 1,476.87, 2,215.61 and 436.79

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Solution

The fourth proportional to 1,476.87, 2,215.61 and 436.79 is: 655.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.87 : 2,215.61 = 436.79 : x
  2. Step 2: Convert to fraction form
    1,476.87/2,215.61 = 436.79/x
  3. Step 3: Cross multiply
    1,476.87x = 2,215.61 × 436.79
  4. Step 4: Simplify right side
    1,476.87x = 967,743.03
  5. Step 5: Solve for x
    x = 967,743.03/1,476.87
  6. Step 6: Final answer
    x = 655.27

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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.