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Finding the Fourth Proportional to 710.06, 1,064.75 and 247.68

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Solution

The fourth proportional to 710.06, 1,064.75 and 247.68 is: 371.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.06 : 1,064.75 = 247.68 : x
  2. Step 2: Convert to fraction form
    710.06/1,064.75 = 247.68/x
  3. Step 3: Cross multiply
    710.06x = 1,064.75 × 247.68
  4. Step 4: Simplify right side
    710.06x = 263,716.04
  5. Step 5: Solve for x
    x = 263,716.04/710.06
  6. Step 6: Final answer
    x = 371.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.