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Finding the Fourth Proportional to 1,475.41, 2,213.26 and 474.90

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Solution

The fourth proportional to 1,475.41, 2,213.26 and 474.90 is: 712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.41 : 2,213.26 = 474.90 : x
  2. Step 2: Convert to fraction form
    1,475.41/2,213.26 = 474.90/x
  3. Step 3: Cross multiply
    1,475.41x = 2,213.26 × 474.90
  4. Step 4: Simplify right side
    1,475.41x = 1,051,077.17
  5. Step 5: Solve for x
    x = 1,051,077.17/1,475.41
  6. Step 6: Final answer
    x = 712.40

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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.