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Finding the Fourth Proportional to 1,340.94, 2,011.35 and 609.99

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Solution

The fourth proportional to 1,340.94, 2,011.35 and 609.99 is: 914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.94 : 2,011.35 = 609.99 : x
  2. Step 2: Convert to fraction form
    1,340.94/2,011.35 = 609.99/x
  3. Step 3: Cross multiply
    1,340.94x = 2,011.35 × 609.99
  4. Step 4: Simplify right side
    1,340.94x = 1,226,903.39
  5. Step 5: Solve for x
    x = 1,226,903.39/1,340.94
  6. Step 6: Final answer
    x = 914.96

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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.