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Finding the Fourth Proportional to 751.31, 1,036.88 and 471.75

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Solution

The fourth proportional to 751.31, 1,036.88 and 471.75 is: 651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.31 : 1,036.88 = 471.75 : x
  2. Step 2: Convert to fraction form
    751.31/1,036.88 = 471.75/x
  3. Step 3: Cross multiply
    751.31x = 1,036.88 × 471.75
  4. Step 4: Simplify right side
    751.31x = 489,145.78
  5. Step 5: Solve for x
    x = 489,145.78/751.31
  6. Step 6: Final answer
    x = 651.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.