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Finding the Fourth Proportional to 841.82, 1,161.78 and 468.87

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Solution

The fourth proportional to 841.82, 1,161.78 and 468.87 is: 647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.82 : 1,161.78 = 468.87 : x
  2. Step 2: Convert to fraction form
    841.82/1,161.78 = 468.87/x
  3. Step 3: Cross multiply
    841.82x = 1,161.78 × 468.87
  4. Step 4: Simplify right side
    841.82x = 544,720.31
  5. Step 5: Solve for x
    x = 544,720.31/841.82
  6. Step 6: Final answer
    x = 647.08

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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.