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Finding the Fourth Proportional to 1,465.93, 2,198.90 and 370.30

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Solution

The fourth proportional to 1,465.93, 2,198.90 and 370.30 is: 555.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.93 : 2,198.90 = 370.30 : x
  2. Step 2: Convert to fraction form
    1,465.93/2,198.90 = 370.30/x
  3. Step 3: Cross multiply
    1,465.93x = 2,198.90 × 370.30
  4. Step 4: Simplify right side
    1,465.93x = 814,243.95
  5. Step 5: Solve for x
    x = 814,243.95/1,465.93
  6. Step 6: Final answer
    x = 555.45

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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.