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Finding the Fourth Proportional to 1,024.77, 1,536.94 and 477.21

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Solution

The fourth proportional to 1,024.77, 1,536.94 and 477.21 is: 715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.77 : 1,536.94 = 477.21 : x
  2. Step 2: Convert to fraction form
    1,024.77/1,536.94 = 477.21/x
  3. Step 3: Cross multiply
    1,024.77x = 1,536.94 × 477.21
  4. Step 4: Simplify right side
    1,024.77x = 733,443.14
  5. Step 5: Solve for x
    x = 733,443.14/1,024.77
  6. Step 6: Final answer
    x = 715.71

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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.