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Finding the Fourth Proportional to 1,006.41, 1,509.75 and 421.14

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Solution

The fourth proportional to 1,006.41, 1,509.75 and 421.14 is: 631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.41 : 1,509.75 = 421.14 : x
  2. Step 2: Convert to fraction form
    1,006.41/1,509.75 = 421.14/x
  3. Step 3: Cross multiply
    1,006.41x = 1,509.75 × 421.14
  4. Step 4: Simplify right side
    1,006.41x = 635,816.12
  5. Step 5: Solve for x
    x = 635,816.12/1,006.41
  6. Step 6: Final answer
    x = 631.77

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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.