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Finding the Fourth Proportional to 1,006.02, 1,508.99 and 421.34

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Solution

The fourth proportional to 1,006.02, 1,508.99 and 421.34 is: 631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.02 : 1,508.99 = 421.34 : x
  2. Step 2: Convert to fraction form
    1,006.02/1,508.99 = 421.34/x
  3. Step 3: Cross multiply
    1,006.02x = 1,508.99 × 421.34
  4. Step 4: Simplify right side
    1,006.02x = 635,788.19
  5. Step 5: Solve for x
    x = 635,788.19/1,006.02
  6. Step 6: Final answer
    x = 631.98

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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.