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Finding the Fourth Proportional to 1,245.15, 1,868.03 and 465.18

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Solution

The fourth proportional to 1,245.15, 1,868.03 and 465.18 is: 697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.15 : 1,868.03 = 465.18 : x
  2. Step 2: Convert to fraction form
    1,245.15/1,868.03 = 465.18/x
  3. Step 3: Cross multiply
    1,245.15x = 1,868.03 × 465.18
  4. Step 4: Simplify right side
    1,245.15x = 868,967.87
  5. Step 5: Solve for x
    x = 868,967.87/1,245.15
  6. Step 6: Final answer
    x = 697.88

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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.