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Finding the Fourth Proportional to 1,155.29, 1,733.13 and 506.48

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Solution

The fourth proportional to 1,155.29, 1,733.13 and 506.48 is: 759.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.29 : 1,733.13 = 506.48 : x
  2. Step 2: Convert to fraction form
    1,155.29/1,733.13 = 506.48/x
  3. Step 3: Cross multiply
    1,155.29x = 1,733.13 × 506.48
  4. Step 4: Simplify right side
    1,155.29x = 877,787.02
  5. Step 5: Solve for x
    x = 877,787.02/1,155.29
  6. Step 6: Final answer
    x = 759.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.