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Finding the Fourth Proportional to 841.20, 1,161.76 and 656.88

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Solution

The fourth proportional to 841.20, 1,161.76 and 656.88 is: 907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.20 : 1,161.76 = 656.88 : x
  2. Step 2: Convert to fraction form
    841.20/1,161.76 = 656.88/x
  3. Step 3: Cross multiply
    841.20x = 1,161.76 × 656.88
  4. Step 4: Simplify right side
    841.20x = 763,136.91
  5. Step 5: Solve for x
    x = 763,136.91/841.20
  6. Step 6: Final answer
    x = 907.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.