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Finding the Fourth Proportional to 1,506.18, 2,258.18 and 518.80

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Solution

The fourth proportional to 1,506.18, 2,258.18 and 518.80 is: 777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.18 : 2,258.18 = 518.80 : x
  2. Step 2: Convert to fraction form
    1,506.18/2,258.18 = 518.80/x
  3. Step 3: Cross multiply
    1,506.18x = 2,258.18 × 518.80
  4. Step 4: Simplify right side
    1,506.18x = 1,171,543.78
  5. Step 5: Solve for x
    x = 1,171,543.78/1,506.18
  6. Step 6: Final answer
    x = 777.82

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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.