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Finding the Fourth Proportional to 1,206.98, 1,810.67 and 385.19

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Solution

The fourth proportional to 1,206.98, 1,810.67 and 385.19 is: 577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.98 : 1,810.67 = 385.19 : x
  2. Step 2: Convert to fraction form
    1,206.98/1,810.67 = 385.19/x
  3. Step 3: Cross multiply
    1,206.98x = 1,810.67 × 385.19
  4. Step 4: Simplify right side
    1,206.98x = 697,441.00
  5. Step 5: Solve for x
    x = 697,441.00/1,206.98
  6. Step 6: Final answer
    x = 577.84

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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.