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Finding the Fourth Proportional to 1,206.60, 1,809.82 and 385.47

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Solution

The fourth proportional to 1,206.60, 1,809.82 and 385.47 is: 578.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.60 : 1,809.82 = 385.47 : x
  2. Step 2: Convert to fraction form
    1,206.60/1,809.82 = 385.47/x
  3. Step 3: Cross multiply
    1,206.60x = 1,809.82 × 385.47
  4. Step 4: Simplify right side
    1,206.60x = 697,631.32
  5. Step 5: Solve for x
    x = 697,631.32/1,206.60
  6. Step 6: Final answer
    x = 578.18

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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.