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Finding the Fourth Proportional to 1,341.48, 2,012.16 and 475.76

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Solution

The fourth proportional to 1,341.48, 2,012.16 and 475.76 is: 713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.48 : 2,012.16 = 475.76 : x
  2. Step 2: Convert to fraction form
    1,341.48/2,012.16 = 475.76/x
  3. Step 3: Cross multiply
    1,341.48x = 2,012.16 × 475.76
  4. Step 4: Simplify right side
    1,341.48x = 957,305.24
  5. Step 5: Solve for x
    x = 957,305.24/1,341.48
  6. Step 6: Final answer
    x = 713.62

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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.