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Finding the Fourth Proportional to 1,483.99, 2,226.23 and 457.75

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Solution

The fourth proportional to 1,483.99, 2,226.23 and 457.75 is: 686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.99 : 2,226.23 = 457.75 : x
  2. Step 2: Convert to fraction form
    1,483.99/2,226.23 = 457.75/x
  3. Step 3: Cross multiply
    1,483.99x = 2,226.23 × 457.75
  4. Step 4: Simplify right side
    1,483.99x = 1,019,056.78
  5. Step 5: Solve for x
    x = 1,019,056.78/1,483.99
  6. Step 6: Final answer
    x = 686.70

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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.