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Finding the Fourth Proportional to 841.78, 1,262.04 and 567.10

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Solution

The fourth proportional to 841.78, 1,262.04 and 567.10 is: 850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.78 : 1,262.04 = 567.10 : x
  2. Step 2: Convert to fraction form
    841.78/1,262.04 = 567.10/x
  3. Step 3: Cross multiply
    841.78x = 1,262.04 × 567.10
  4. Step 4: Simplify right side
    841.78x = 715,702.88
  5. Step 5: Solve for x
    x = 715,702.88/841.78
  6. Step 6: Final answer
    x = 850.23

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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.