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Finding the Fourth Proportional to 751.31, 1,126.97 and 312.58

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Solution

The fourth proportional to 751.31, 1,126.97 and 312.58 is: 468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.31 : 1,126.97 = 312.58 : x
  2. Step 2: Convert to fraction form
    751.31/1,126.97 = 312.58/x
  3. Step 3: Cross multiply
    751.31x = 1,126.97 × 312.58
  4. Step 4: Simplify right side
    751.31x = 352,268.71
  5. Step 5: Solve for x
    x = 352,268.71/751.31
  6. Step 6: Final answer
    x = 468.87

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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.