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Finding the Fourth Proportional to 1,206.96, 1,810.46 and 385.23

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Solution

The fourth proportional to 1,206.96, 1,810.46 and 385.23 is: 577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.96 : 1,810.46 = 385.23 : x
  2. Step 2: Convert to fraction form
    1,206.96/1,810.46 = 385.23/x
  3. Step 3: Cross multiply
    1,206.96x = 1,810.46 × 385.23
  4. Step 4: Simplify right side
    1,206.96x = 697,440.42
  5. Step 5: Solve for x
    x = 697,440.42/1,206.96
  6. Step 6: Final answer
    x = 577.85

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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.