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Finding the Fourth Proportional to 1,025.84, 1,537.65 and 506.21

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Solution

The fourth proportional to 1,025.84, 1,537.65 and 506.21 is: 758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.84 : 1,537.65 = 506.21 : x
  2. Step 2: Convert to fraction form
    1,025.84/1,537.65 = 506.21/x
  3. Step 3: Cross multiply
    1,025.84x = 1,537.65 × 506.21
  4. Step 4: Simplify right side
    1,025.84x = 778,366.12
  5. Step 5: Solve for x
    x = 778,366.12/1,025.84
  6. Step 6: Final answer
    x = 758.76

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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.