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Finding the Fourth Proportional to 833.99, 1,151.25 and 502.70

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Solution

The fourth proportional to 833.99, 1,151.25 and 502.70 is: 693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.99 : 1,151.25 = 502.70 : x
  2. Step 2: Convert to fraction form
    833.99/1,151.25 = 502.70/x
  3. Step 3: Cross multiply
    833.99x = 1,151.25 × 502.70
  4. Step 4: Simplify right side
    833.99x = 578,734.37
  5. Step 5: Solve for x
    x = 578,734.37/833.99
  6. Step 6: Final answer
    x = 693.93

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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.