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Finding the Fourth Proportional to 833.78, 1,150.65 and 502.49

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Solution

The fourth proportional to 833.78, 1,150.65 and 502.49 is: 693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.78 : 1,150.65 = 502.49 : x
  2. Step 2: Convert to fraction form
    833.78/1,150.65 = 502.49/x
  3. Step 3: Cross multiply
    833.78x = 1,150.65 × 502.49
  4. Step 4: Simplify right side
    833.78x = 578,184.37
  5. Step 5: Solve for x
    x = 578,184.37/833.78
  6. Step 6: Final answer
    x = 693.45

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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.