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Finding the Fourth Proportional to 1,206.07, 1,809.41 and 340.38

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Solution

The fourth proportional to 1,206.07, 1,809.41 and 340.38 is: 510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.07 : 1,809.41 = 340.38 : x
  2. Step 2: Convert to fraction form
    1,206.07/1,809.41 = 340.38/x
  3. Step 3: Cross multiply
    1,206.07x = 1,809.41 × 340.38
  4. Step 4: Simplify right side
    1,206.07x = 615,886.98
  5. Step 5: Solve for x
    x = 615,886.98/1,206.07
  6. Step 6: Final answer
    x = 510.66

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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.