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Finding the Fourth Proportional to 841.33, 1,160.44 and 561.48

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Solution

The fourth proportional to 841.33, 1,160.44 and 561.48 is: 774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.33 : 1,160.44 = 561.48 : x
  2. Step 2: Convert to fraction form
    841.33/1,160.44 = 561.48/x
  3. Step 3: Cross multiply
    841.33x = 1,160.44 × 561.48
  4. Step 4: Simplify right side
    841.33x = 651,563.85
  5. Step 5: Solve for x
    x = 651,563.85/841.33
  6. Step 6: Final answer
    x = 774.45

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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.