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Finding the Fourth Proportional to 900.08, 1,242.09 and 507.11

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Solution

The fourth proportional to 900.08, 1,242.09 and 507.11 is: 699.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.08 : 1,242.09 = 507.11 : x
  2. Step 2: Convert to fraction form
    900.08/1,242.09 = 507.11/x
  3. Step 3: Cross multiply
    900.08x = 1,242.09 × 507.11
  4. Step 4: Simplify right side
    900.08x = 629,876.26
  5. Step 5: Solve for x
    x = 629,876.26/900.08
  6. Step 6: Final answer
    x = 699.80

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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.