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Finding the Fourth Proportional to 1,014.26, 1,521.54 and 365.14

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Solution

The fourth proportional to 1,014.26, 1,521.54 and 365.14 is: 547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.26 : 1,521.54 = 365.14 : x
  2. Step 2: Convert to fraction form
    1,014.26/1,521.54 = 365.14/x
  3. Step 3: Cross multiply
    1,014.26x = 1,521.54 × 365.14
  4. Step 4: Simplify right side
    1,014.26x = 555,577.02
  5. Step 5: Solve for x
    x = 555,577.02/1,014.26
  6. Step 6: Final answer
    x = 547.77

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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.