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Finding the Fourth Proportional to 797.70, 1,100.83 and 466.13

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Solution

The fourth proportional to 797.70, 1,100.83 and 466.13 is: 643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.70 : 1,100.83 = 466.13 : x
  2. Step 2: Convert to fraction form
    797.70/1,100.83 = 466.13/x
  3. Step 3: Cross multiply
    797.70x = 1,100.83 × 466.13
  4. Step 4: Simplify right side
    797.70x = 513,123.14
  5. Step 5: Solve for x
    x = 513,123.14/797.70
  6. Step 6: Final answer
    x = 643.25

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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.