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Finding the Fourth Proportional to 1,206.31, 1,809.25 and 384.47

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Solution

The fourth proportional to 1,206.31, 1,809.25 and 384.47 is: 576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.31 : 1,809.25 = 384.47 : x
  2. Step 2: Convert to fraction form
    1,206.31/1,809.25 = 384.47/x
  3. Step 3: Cross multiply
    1,206.31x = 1,809.25 × 384.47
  4. Step 4: Simplify right side
    1,206.31x = 695,602.35
  5. Step 5: Solve for x
    x = 695,602.35/1,206.31
  6. Step 6: Final answer
    x = 576.64

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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.