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Finding the Fourth Proportional to 797.08, 1,099.68 and 465.46

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Solution

The fourth proportional to 797.08, 1,099.68 and 465.46 is: 642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.08 : 1,099.68 = 465.46 : x
  2. Step 2: Convert to fraction form
    797.08/1,099.68 = 465.46/x
  3. Step 3: Cross multiply
    797.08x = 1,099.68 × 465.46
  4. Step 4: Simplify right side
    797.08x = 511,855.18
  5. Step 5: Solve for x
    x = 511,855.18/797.08
  6. Step 6: Final answer
    x = 642.17

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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.