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Finding the Fourth Proportional to 1,477.68, 2,216.61 and 382.07

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Solution

The fourth proportional to 1,477.68, 2,216.61 and 382.07 is: 573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.68 : 2,216.61 = 382.07 : x
  2. Step 2: Convert to fraction form
    1,477.68/2,216.61 = 382.07/x
  3. Step 3: Cross multiply
    1,477.68x = 2,216.61 × 382.07
  4. Step 4: Simplify right side
    1,477.68x = 846,889.10
  5. Step 5: Solve for x
    x = 846,889.10/1,477.68
  6. Step 6: Final answer
    x = 573.12

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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.