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Finding the Fourth Proportional to 1,477.06, 2,215.59 and 655.31

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Solution

The fourth proportional to 1,477.06, 2,215.59 and 655.31 is: 982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.06 : 2,215.59 = 655.31 : x
  2. Step 2: Convert to fraction form
    1,477.06/2,215.59 = 655.31/x
  3. Step 3: Cross multiply
    1,477.06x = 2,215.59 × 655.31
  4. Step 4: Simplify right side
    1,477.06x = 1,451,903.82
  5. Step 5: Solve for x
    x = 1,451,903.82/1,477.06
  6. Step 6: Final answer
    x = 982.97

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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.