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Finding the Fourth Proportional to 1,024.37, 1,537.65 and 477.08

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Solution

The fourth proportional to 1,024.37, 1,537.65 and 477.08 is: 716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.37 : 1,537.65 = 477.08 : x
  2. Step 2: Convert to fraction form
    1,024.37/1,537.65 = 477.08/x
  3. Step 3: Cross multiply
    1,024.37x = 1,537.65 × 477.08
  4. Step 4: Simplify right side
    1,024.37x = 733,579.68
  5. Step 5: Solve for x
    x = 733,579.68/1,024.37
  6. Step 6: Final answer
    x = 716.13

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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.