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Finding the Fourth Proportional to 1,206.07, 1,809.11 and 340.39

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Solution

The fourth proportional to 1,206.07, 1,809.11 and 340.39 is: 510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.07 : 1,809.11 = 340.39 : x
  2. Step 2: Convert to fraction form
    1,206.07/1,809.11 = 340.39/x
  3. Step 3: Cross multiply
    1,206.07x = 1,809.11 × 340.39
  4. Step 4: Simplify right side
    1,206.07x = 615,802.95
  5. Step 5: Solve for x
    x = 615,802.95/1,206.07
  6. Step 6: Final answer
    x = 510.59

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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.