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Finding the Fourth Proportional to 710.70, 980.82 and 448.71

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Solution

The fourth proportional to 710.70, 980.82 and 448.71 is: 619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.70 : 980.82 = 448.71 : x
  2. Step 2: Convert to fraction form
    710.70/980.82 = 448.71/x
  3. Step 3: Cross multiply
    710.70x = 980.82 × 448.71
  4. Step 4: Simplify right side
    710.70x = 440,103.74
  5. Step 5: Solve for x
    x = 440,103.74/710.70
  6. Step 6: Final answer
    x = 619.25

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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.