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Finding the Fourth Proportional to 1,005.97, 1,509.38 and 421.11

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Solution

The fourth proportional to 1,005.97, 1,509.38 and 421.11 is: 631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.97 : 1,509.38 = 421.11 : x
  2. Step 2: Convert to fraction form
    1,005.97/1,509.38 = 421.11/x
  3. Step 3: Cross multiply
    1,005.97x = 1,509.38 × 421.11
  4. Step 4: Simplify right side
    1,005.97x = 635,612.61
  5. Step 5: Solve for x
    x = 635,612.61/1,005.97
  6. Step 6: Final answer
    x = 631.84

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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.