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Finding the Fourth Proportional to 833.75, 1,151.04 and 502.25

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Solution

The fourth proportional to 833.75, 1,151.04 and 502.25 is: 693.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.75 : 1,151.04 = 502.25 : x
  2. Step 2: Convert to fraction form
    833.75/1,151.04 = 502.25/x
  3. Step 3: Cross multiply
    833.75x = 1,151.04 × 502.25
  4. Step 4: Simplify right side
    833.75x = 578,109.84
  5. Step 5: Solve for x
    x = 578,109.84/833.75
  6. Step 6: Final answer
    x = 693.39

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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.