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Finding the Fourth Proportional to 1,476.86, 2,213.91 and 502.28

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Solution

The fourth proportional to 1,476.86, 2,213.91 and 502.28 is: 752.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.86 : 2,213.91 = 502.28 : x
  2. Step 2: Convert to fraction form
    1,476.86/2,213.91 = 502.28/x
  3. Step 3: Cross multiply
    1,476.86x = 2,213.91 × 502.28
  4. Step 4: Simplify right side
    1,476.86x = 1,111,999.95
  5. Step 5: Solve for x
    x = 1,111,999.95/1,476.86
  6. Step 6: Final answer
    x = 752.95

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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.