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Finding the Fourth Proportional to 1,475.69, 2,213.74 and 501.53

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Solution

The fourth proportional to 1,475.69, 2,213.74 and 501.53 is: 752.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.69 : 2,213.74 = 501.53 : x
  2. Step 2: Convert to fraction form
    1,475.69/2,213.74 = 501.53/x
  3. Step 3: Cross multiply
    1,475.69x = 2,213.74 × 501.53
  4. Step 4: Simplify right side
    1,475.69x = 1,110,257.02
  5. Step 5: Solve for x
    x = 1,110,257.02/1,475.69
  6. Step 6: Final answer
    x = 752.36

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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.