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Finding the Fourth Proportional to 1,340.01, 2,009.24 and 518.16

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Solution

The fourth proportional to 1,340.01, 2,009.24 and 518.16 is: 776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.01 : 2,009.24 = 518.16 : x
  2. Step 2: Convert to fraction form
    1,340.01/2,009.24 = 518.16/x
  3. Step 3: Cross multiply
    1,340.01x = 2,009.24 × 518.16
  4. Step 4: Simplify right side
    1,340.01x = 1,041,114.69
  5. Step 5: Solve for x
    x = 1,041,114.69/1,340.01
  6. Step 6: Final answer
    x = 776.95

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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.