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Finding the Fourth Proportional to 841.52, 1,161.03 and 509.84

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Solution

The fourth proportional to 841.52, 1,161.03 and 509.84 is: 703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.52 : 1,161.03 = 509.84 : x
  2. Step 2: Convert to fraction form
    841.52/1,161.03 = 509.84/x
  3. Step 3: Cross multiply
    841.52x = 1,161.03 × 509.84
  4. Step 4: Simplify right side
    841.52x = 591,939.54
  5. Step 5: Solve for x
    x = 591,939.54/841.52
  6. Step 6: Final answer
    x = 703.42

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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.