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Finding the Fourth Proportional to 801.41, 1,200.10 and 508.02

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Solution

The fourth proportional to 801.41, 1,200.10 and 508.02 is: 760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.41 : 1,200.10 = 508.02 : x
  2. Step 2: Convert to fraction form
    801.41/1,200.10 = 508.02/x
  3. Step 3: Cross multiply
    801.41x = 1,200.10 × 508.02
  4. Step 4: Simplify right side
    801.41x = 609,666.26
  5. Step 5: Solve for x
    x = 609,666.26/801.41
  6. Step 6: Final answer
    x = 760.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.