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Finding the Fourth Proportional to 700.92, 967.50 and 514.80

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Solution

The fourth proportional to 700.92, 967.50 and 514.80 is: 710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.92 : 967.50 = 514.80 : x
  2. Step 2: Convert to fraction form
    700.92/967.50 = 514.80/x
  3. Step 3: Cross multiply
    700.92x = 967.50 × 514.80
  4. Step 4: Simplify right side
    700.92x = 498,069.00
  5. Step 5: Solve for x
    x = 498,069.00/700.92
  6. Step 6: Final answer
    x = 710.59

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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.