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Finding the Fourth Proportional to 833.99, 1,151.37 and 502.50

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Solution

The fourth proportional to 833.99, 1,151.37 and 502.50 is: 693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.99 : 1,151.37 = 502.50 : x
  2. Step 2: Convert to fraction form
    833.99/1,151.37 = 502.50/x
  3. Step 3: Cross multiply
    833.99x = 1,151.37 × 502.50
  4. Step 4: Simplify right side
    833.99x = 578,563.43
  5. Step 5: Solve for x
    x = 578,563.43/833.99
  6. Step 6: Final answer
    x = 693.73

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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.