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Finding the Fourth Proportional to 1,014.86, 1,522.49 and 467.43

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Solution

The fourth proportional to 1,014.86, 1,522.49 and 467.43 is: 701.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.86 : 1,522.49 = 467.43 : x
  2. Step 2: Convert to fraction form
    1,014.86/1,522.49 = 467.43/x
  3. Step 3: Cross multiply
    1,014.86x = 1,522.49 × 467.43
  4. Step 4: Simplify right side
    1,014.86x = 711,655.16
  5. Step 5: Solve for x
    x = 711,655.16/1,014.86
  6. Step 6: Final answer
    x = 701.24

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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.