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Finding the Fourth Proportional to 1,401.62, 2,102.24 and 477.14

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Solution

The fourth proportional to 1,401.62, 2,102.24 and 477.14 is: 715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.62 : 2,102.24 = 477.14 : x
  2. Step 2: Convert to fraction form
    1,401.62/2,102.24 = 477.14/x
  3. Step 3: Cross multiply
    1,401.62x = 2,102.24 × 477.14
  4. Step 4: Simplify right side
    1,401.62x = 1,003,062.79
  5. Step 5: Solve for x
    x = 1,003,062.79/1,401.62
  6. Step 6: Final answer
    x = 715.65

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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.