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Finding the Fourth Proportional to 1,022.86, 1,534.43 and 406.63

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Solution

The fourth proportional to 1,022.86, 1,534.43 and 406.63 is: 609.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.86 : 1,534.43 = 406.63 : x
  2. Step 2: Convert to fraction form
    1,022.86/1,534.43 = 406.63/x
  3. Step 3: Cross multiply
    1,022.86x = 1,534.43 × 406.63
  4. Step 4: Simplify right side
    1,022.86x = 623,937.60
  5. Step 5: Solve for x
    x = 623,937.60/1,022.86
  6. Step 6: Final answer
    x = 609.99

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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.