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Finding the Fourth Proportional to 1,478.13, 2,218.20 and 612.45

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Solution

The fourth proportional to 1,478.13, 2,218.20 and 612.45 is: 919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.13 : 2,218.20 = 612.45 : x
  2. Step 2: Convert to fraction form
    1,478.13/2,218.20 = 612.45/x
  3. Step 3: Cross multiply
    1,478.13x = 2,218.20 × 612.45
  4. Step 4: Simplify right side
    1,478.13x = 1,358,536.59
  5. Step 5: Solve for x
    x = 1,358,536.59/1,478.13
  6. Step 6: Final answer
    x = 919.09

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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.