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Finding the Fourth Proportional to 710.74, 980.50 and 513.82

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Solution

The fourth proportional to 710.74, 980.50 and 513.82 is: 708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.74 : 980.50 = 513.82 : x
  2. Step 2: Convert to fraction form
    710.74/980.50 = 513.82/x
  3. Step 3: Cross multiply
    710.74x = 980.50 × 513.82
  4. Step 4: Simplify right side
    710.74x = 503,800.51
  5. Step 5: Solve for x
    x = 503,800.51/710.74
  6. Step 6: Final answer
    x = 708.84

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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.