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Finding the Fourth Proportional to 1,575.34, 2,362.98 and 421.09

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Solution

The fourth proportional to 1,575.34, 2,362.98 and 421.09 is: 631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.34 : 2,362.98 = 421.09 : x
  2. Step 2: Convert to fraction form
    1,575.34/2,362.98 = 421.09/x
  3. Step 3: Cross multiply
    1,575.34x = 2,362.98 × 421.09
  4. Step 4: Simplify right side
    1,575.34x = 995,027.25
  5. Step 5: Solve for x
    x = 995,027.25/1,575.34
  6. Step 6: Final answer
    x = 631.63

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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.