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Finding the Fourth Proportional to 706.95, 1,057.77 and 502.02

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Solution

The fourth proportional to 706.95, 1,057.77 and 502.02 is: 751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.95 : 1,057.77 = 502.02 : x
  2. Step 2: Convert to fraction form
    706.95/1,057.77 = 502.02/x
  3. Step 3: Cross multiply
    706.95x = 1,057.77 × 502.02
  4. Step 4: Simplify right side
    706.95x = 531,021.70
  5. Step 5: Solve for x
    x = 531,021.70/706.95
  6. Step 6: Final answer
    x = 751.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.