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Finding the Fourth Proportional to 753.87, 1,130.62 and 206.05

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Solution

The fourth proportional to 753.87, 1,130.62 and 206.05 is: 309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.87 : 1,130.62 = 206.05 : x
  2. Step 2: Convert to fraction form
    753.87/1,130.62 = 206.05/x
  3. Step 3: Cross multiply
    753.87x = 1,130.62 × 206.05
  4. Step 4: Simplify right side
    753.87x = 232,964.25
  5. Step 5: Solve for x
    x = 232,964.25/753.87
  6. Step 6: Final answer
    x = 309.02

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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.