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Finding the Fourth Proportional to 751.65, 1,036.92 and 471.75

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Solution

The fourth proportional to 751.65, 1,036.92 and 471.75 is: 650.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.65 : 1,036.92 = 471.75 : x
  2. Step 2: Convert to fraction form
    751.65/1,036.92 = 471.75/x
  3. Step 3: Cross multiply
    751.65x = 1,036.92 × 471.75
  4. Step 4: Simplify right side
    751.65x = 489,167.01
  5. Step 5: Solve for x
    x = 489,167.01/751.65
  6. Step 6: Final answer
    x = 650.79

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