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Finding the Fourth Proportional to 1,206.93, 1,810.37 and 513.42

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Solution

The fourth proportional to 1,206.93, 1,810.37 and 513.42 is: 770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.93 : 1,810.37 = 513.42 : x
  2. Step 2: Convert to fraction form
    1,206.93/1,810.37 = 513.42/x
  3. Step 3: Cross multiply
    1,206.93x = 1,810.37 × 513.42
  4. Step 4: Simplify right side
    1,206.93x = 929,477.60
  5. Step 5: Solve for x
    x = 929,477.60/1,206.93
  6. Step 6: Final answer
    x = 770.12

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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.