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Finding the Fourth Proportional to 751.83, 1,127.80 and 204.00

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Solution

The fourth proportional to 751.83, 1,127.80 and 204.00 is: 306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.83 : 1,127.80 = 204.00 : x
  2. Step 2: Convert to fraction form
    751.83/1,127.80 = 204.00/x
  3. Step 3: Cross multiply
    751.83x = 1,127.80 × 204.00
  4. Step 4: Simplify right side
    751.83x = 230,069.97
  5. Step 5: Solve for x
    x = 230,069.97/751.83
  6. Step 6: Final answer
    x = 306.02

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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.