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Finding the Fourth Proportional to 753.98, 1,130.84 and 206.01

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Solution

The fourth proportional to 753.98, 1,130.84 and 206.01 is: 308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.98 : 1,130.84 = 206.01 : x
  2. Step 2: Convert to fraction form
    753.98/1,130.84 = 206.01/x
  3. Step 3: Cross multiply
    753.98x = 1,130.84 × 206.01
  4. Step 4: Simplify right side
    753.98x = 232,963.32
  5. Step 5: Solve for x
    x = 232,963.32/753.98
  6. Step 6: Final answer
    x = 308.98

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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.