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Finding the Fourth Proportional to 841.97, 1,161.90 and 468.92

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Solution

The fourth proportional to 841.97, 1,161.90 and 468.92 is: 647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.97 : 1,161.90 = 468.92 : x
  2. Step 2: Convert to fraction form
    841.97/1,161.90 = 468.92/x
  3. Step 3: Cross multiply
    841.97x = 1,161.90 × 468.92
  4. Step 4: Simplify right side
    841.97x = 544,842.81
  5. Step 5: Solve for x
    x = 544,842.81/841.97
  6. Step 6: Final answer
    x = 647.11

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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.