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Finding the Fourth Proportional to 841.32, 1,161.38 and 565.48

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Solution

The fourth proportional to 841.32, 1,161.38 and 565.48 is: 780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.32 : 1,161.38 = 565.48 : x
  2. Step 2: Convert to fraction form
    841.32/1,161.38 = 565.48/x
  3. Step 3: Cross multiply
    841.32x = 1,161.38 × 565.48
  4. Step 4: Simplify right side
    841.32x = 656,737.16
  5. Step 5: Solve for x
    x = 656,737.16/841.32
  6. Step 6: Final answer
    x = 780.60

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1.5x scale

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.