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Finding the Fourth Proportional to 750.26, 1,034.70 and 488

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Solution

The fourth proportional to 750.26, 1,034.70 and 488 is: 673.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.26 : 1,034.70 = 488 : x
  2. Step 2: Convert to fraction form
    750.26/1,034.70 = 488/x
  3. Step 3: Cross multiply
    750.26x = 1,034.70 × 488
  4. Step 4: Simplify right side
    750.26x = 504,933.60
  5. Step 5: Solve for x
    x = 504,933.60/750.26
  6. Step 6: Final answer
    x = 673.01

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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.