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Finding the Fourth Proportional to 1,340.69, 2,011.04 and 416.23

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Solution

The fourth proportional to 1,340.69, 2,011.04 and 416.23 is: 624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.69 : 2,011.04 = 416.23 : x
  2. Step 2: Convert to fraction form
    1,340.69/2,011.04 = 416.23/x
  3. Step 3: Cross multiply
    1,340.69x = 2,011.04 × 416.23
  4. Step 4: Simplify right side
    1,340.69x = 837,051.19
  5. Step 5: Solve for x
    x = 837,051.19/1,340.69
  6. Step 6: Final answer
    x = 624.34

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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.