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Finding the Fourth Proportional to 841.91, 1,162.22 and 543.59

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Solution

The fourth proportional to 841.91, 1,162.22 and 543.59 is: 750.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.91 : 1,162.22 = 543.59 : x
  2. Step 2: Convert to fraction form
    841.91/1,162.22 = 543.59/x
  3. Step 3: Cross multiply
    841.91x = 1,162.22 × 543.59
  4. Step 4: Simplify right side
    841.91x = 631,767.00
  5. Step 5: Solve for x
    x = 631,767.00/841.91
  6. Step 6: Final answer
    x = 750.40

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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.