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Finding the Fourth Proportional to 1,476.10, 2,213.76 and 502

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Solution

The fourth proportional to 1,476.10, 2,213.76 and 502 is: 752.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.10 : 2,213.76 = 502 : x
  2. Step 2: Convert to fraction form
    1,476.10/2,213.76 = 502/x
  3. Step 3: Cross multiply
    1,476.10x = 2,213.76 × 502
  4. Step 4: Simplify right side
    1,476.10x = 1,111,307.52
  5. Step 5: Solve for x
    x = 1,111,307.52/1,476.10
  6. Step 6: Final answer
    x = 752.87

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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.