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Finding the Fourth Proportional to 841.22, 1,160.78 and 509.80

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Solution

The fourth proportional to 841.22, 1,160.78 and 509.80 is: 703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.22 : 1,160.78 = 509.80 : x
  2. Step 2: Convert to fraction form
    841.22/1,160.78 = 509.80/x
  3. Step 3: Cross multiply
    841.22x = 1,160.78 × 509.80
  4. Step 4: Simplify right side
    841.22x = 591,765.64
  5. Step 5: Solve for x
    x = 591,765.64/841.22
  6. Step 6: Final answer
    x = 703.46

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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.