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Finding the Fourth Proportional to 1,206.57, 1,809.32 and 841.53

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Solution

The fourth proportional to 1,206.57, 1,809.32 and 841.53 is: 1,261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.57 : 1,809.32 = 841.53 : x
  2. Step 2: Convert to fraction form
    1,206.57/1,809.32 = 841.53/x
  3. Step 3: Cross multiply
    1,206.57x = 1,809.32 × 841.53
  4. Step 4: Simplify right side
    1,206.57x = 1,522,592.85
  5. Step 5: Solve for x
    x = 1,522,592.85/1,206.57
  6. Step 6: Final answer
    x = 1,261.92

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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.