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Finding the Fourth Proportional to 1,362.19, 2,041.49 and 540.02

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Solution

The fourth proportional to 1,362.19, 2,041.49 and 540.02 is: 809.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.19 : 2,041.49 = 540.02 : x
  2. Step 2: Convert to fraction form
    1,362.19/2,041.49 = 540.02/x
  3. Step 3: Cross multiply
    1,362.19x = 2,041.49 × 540.02
  4. Step 4: Simplify right side
    1,362.19x = 1,102,445.43
  5. Step 5: Solve for x
    x = 1,102,445.43/1,362.19
  6. Step 6: Final answer
    x = 809.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.