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Finding the Fourth Proportional to 1,014.62, 1,521.94 and 364.90

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Solution

The fourth proportional to 1,014.62, 1,521.94 and 364.90 is: 547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.62 : 1,521.94 = 364.90 : x
  2. Step 2: Convert to fraction form
    1,014.62/1,521.94 = 364.90/x
  3. Step 3: Cross multiply
    1,014.62x = 1,521.94 × 364.90
  4. Step 4: Simplify right side
    1,014.62x = 555,355.91
  5. Step 5: Solve for x
    x = 555,355.91/1,014.62
  6. Step 6: Final answer
    x = 547.35

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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.