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Finding the Fourth Proportional to 837.85, 1,254.95 and 404.10

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Solution

The fourth proportional to 837.85, 1,254.95 and 404.10 is: 605.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.85 : 1,254.95 = 404.10 : x
  2. Step 2: Convert to fraction form
    837.85/1,254.95 = 404.10/x
  3. Step 3: Cross multiply
    837.85x = 1,254.95 × 404.10
  4. Step 4: Simplify right side
    837.85x = 507,117.00
  5. Step 5: Solve for x
    x = 507,117.00/837.85
  6. Step 6: Final answer
    x = 605.26

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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.