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Finding the Fourth Proportional to 1,014.29, 1,521.71 and 320.99

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Solution

The fourth proportional to 1,014.29, 1,521.71 and 320.99 is: 481.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.29 : 1,521.71 = 320.99 : x
  2. Step 2: Convert to fraction form
    1,014.29/1,521.71 = 320.99/x
  3. Step 3: Cross multiply
    1,014.29x = 1,521.71 × 320.99
  4. Step 4: Simplify right side
    1,014.29x = 488,444.48
  5. Step 5: Solve for x
    x = 488,444.48/1,014.29
  6. Step 6: Final answer
    x = 481.57

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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.