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Finding the Fourth Proportional to 1,024.84, 1,537.26 and 366.85

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Solution

The fourth proportional to 1,024.84, 1,537.26 and 366.85 is: 550.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.84 : 1,537.26 = 366.85 : x
  2. Step 2: Convert to fraction form
    1,024.84/1,537.26 = 366.85/x
  3. Step 3: Cross multiply
    1,024.84x = 1,537.26 × 366.85
  4. Step 4: Simplify right side
    1,024.84x = 563,943.83
  5. Step 5: Solve for x
    x = 563,943.83/1,024.84
  6. Step 6: Final answer
    x = 550.28

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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.