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Finding the Fourth Proportional to 900.10, 1,242 and 507.04

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Solution

The fourth proportional to 900.10, 1,242 and 507.04 is: 699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.10 : 1,242 = 507.04 : x
  2. Step 2: Convert to fraction form
    900.10/1,242 = 507.04/x
  3. Step 3: Cross multiply
    900.10x = 1,242 × 507.04
  4. Step 4: Simplify right side
    900.10x = 629,743.68
  5. Step 5: Solve for x
    x = 629,743.68/900.10
  6. Step 6: Final answer
    x = 699.64

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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.