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Finding the Fourth Proportional to 1,155.84, 1,732.80 and 506.56

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Solution

The fourth proportional to 1,155.84, 1,732.80 and 506.56 is: 759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.84 : 1,732.80 = 506.56 : x
  2. Step 2: Convert to fraction form
    1,155.84/1,732.80 = 506.56/x
  3. Step 3: Cross multiply
    1,155.84x = 1,732.80 × 506.56
  4. Step 4: Simplify right side
    1,155.84x = 877,767.17
  5. Step 5: Solve for x
    x = 877,767.17/1,155.84
  6. Step 6: Final answer
    x = 759.42

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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.