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Finding the Fourth Proportional to 797.78, 1,100.43 and 502.53

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Solution

The fourth proportional to 797.78, 1,100.43 and 502.53 is: 693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.78 : 1,100.43 = 502.53 : x
  2. Step 2: Convert to fraction form
    797.78/1,100.43 = 502.53/x
  3. Step 3: Cross multiply
    797.78x = 1,100.43 × 502.53
  4. Step 4: Simplify right side
    797.78x = 552,999.09
  5. Step 5: Solve for x
    x = 552,999.09/797.78
  6. Step 6: Final answer
    x = 693.17

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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.