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Finding the Fourth Proportional to 997.08, 1,495.86 and 420

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Solution

The fourth proportional to 997.08, 1,495.86 and 420 is: 630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.08 : 1,495.86 = 420 : x
  2. Step 2: Convert to fraction form
    997.08/1,495.86 = 420/x
  3. Step 3: Cross multiply
    997.08x = 1,495.86 × 420
  4. Step 4: Simplify right side
    997.08x = 628,261.20
  5. Step 5: Solve for x
    x = 628,261.20/997.08
  6. Step 6: Final answer
    x = 630.10

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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.