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Finding the Fourth Proportional to 841.60, 1,161.16 and 527.10

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Solution

The fourth proportional to 841.60, 1,161.16 and 527.10 is: 727.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.60 : 1,161.16 = 527.10 : x
  2. Step 2: Convert to fraction form
    841.60/1,161.16 = 527.10/x
  3. Step 3: Cross multiply
    841.60x = 1,161.16 × 527.10
  4. Step 4: Simplify right side
    841.60x = 612,047.44
  5. Step 5: Solve for x
    x = 612,047.44/841.60
  6. Step 6: Final answer
    x = 727.24

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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.