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Finding the Fourth Proportional to 1,477.15, 2,215.92 and 437.23

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Solution

The fourth proportional to 1,477.15, 2,215.92 and 437.23 is: 655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.15 : 2,215.92 = 437.23 : x
  2. Step 2: Convert to fraction form
    1,477.15/2,215.92 = 437.23/x
  3. Step 3: Cross multiply
    1,477.15x = 2,215.92 × 437.23
  4. Step 4: Simplify right side
    1,477.15x = 968,866.70
  5. Step 5: Solve for x
    x = 968,866.70/1,477.15
  6. Step 6: Final answer
    x = 655.90

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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.