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Finding the Fourth Proportional to 751.02, 1,126.57 and 231.10

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Solution

The fourth proportional to 751.02, 1,126.57 and 231.10 is: 346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.02 : 1,126.57 = 231.10 : x
  2. Step 2: Convert to fraction form
    751.02/1,126.57 = 231.10/x
  3. Step 3: Cross multiply
    751.02x = 1,126.57 × 231.10
  4. Step 4: Simplify right side
    751.02x = 260,346.93
  5. Step 5: Solve for x
    x = 260,346.93/751.02
  6. Step 6: Final answer
    x = 346.66

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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.