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Finding the Fourth Proportional to 841.74, 1,161.60 and 468.78

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Solution

The fourth proportional to 841.74, 1,161.60 and 468.78 is: 646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.74 : 1,161.60 = 468.78 : x
  2. Step 2: Convert to fraction form
    841.74/1,161.60 = 468.78/x
  3. Step 3: Cross multiply
    841.74x = 1,161.60 × 468.78
  4. Step 4: Simplify right side
    841.74x = 544,534.85
  5. Step 5: Solve for x
    x = 544,534.85/841.74
  6. Step 6: Final answer
    x = 646.92

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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.