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Finding the Fourth Proportional to 710.51, 980.15 and 514.22

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Solution

The fourth proportional to 710.51, 980.15 and 514.22 is: 709.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.51 : 980.15 = 514.22 : x
  2. Step 2: Convert to fraction form
    710.51/980.15 = 514.22/x
  3. Step 3: Cross multiply
    710.51x = 980.15 × 514.22
  4. Step 4: Simplify right side
    710.51x = 504,005.26
  5. Step 5: Solve for x
    x = 504,005.26/710.51
  6. Step 6: Final answer
    x = 709.36

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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.