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Finding the Fourth Proportional to 841.97, 1,161.99 and 469.01

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Solution

The fourth proportional to 841.97, 1,161.99 and 469.01 is: 647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.97 : 1,161.99 = 469.01 : x
  2. Step 2: Convert to fraction form
    841.97/1,161.99 = 469.01/x
  3. Step 3: Cross multiply
    841.97x = 1,161.99 × 469.01
  4. Step 4: Simplify right side
    841.97x = 544,984.93
  5. Step 5: Solve for x
    x = 544,984.93/841.97
  6. Step 6: Final answer
    x = 647.27

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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.