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Finding the Fourth Proportional to 1,478.66, 2,218.29 and 504.83

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Solution

The fourth proportional to 1,478.66, 2,218.29 and 504.83 is: 757.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.66 : 2,218.29 = 504.83 : x
  2. Step 2: Convert to fraction form
    1,478.66/2,218.29 = 504.83/x
  3. Step 3: Cross multiply
    1,478.66x = 2,218.29 × 504.83
  4. Step 4: Simplify right side
    1,478.66x = 1,119,862.99
  5. Step 5: Solve for x
    x = 1,119,862.99/1,478.66
  6. Step 6: Final answer
    x = 757.35

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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.