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Finding the Fourth Proportional to 710.80, 980.68 and 448.90

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Solution

The fourth proportional to 710.80, 980.68 and 448.90 is: 619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.80 : 980.68 = 448.90 : x
  2. Step 2: Convert to fraction form
    710.80/980.68 = 448.90/x
  3. Step 3: Cross multiply
    710.80x = 980.68 × 448.90
  4. Step 4: Simplify right side
    710.80x = 440,227.25
  5. Step 5: Solve for x
    x = 440,227.25/710.80
  6. Step 6: Final answer
    x = 619.34

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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.