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Finding the Fourth Proportional to 1,155.94, 1,733.74 and 506.50

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Solution

The fourth proportional to 1,155.94, 1,733.74 and 506.50 is: 759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.94 : 1,733.74 = 506.50 : x
  2. Step 2: Convert to fraction form
    1,155.94/1,733.74 = 506.50/x
  3. Step 3: Cross multiply
    1,155.94x = 1,733.74 × 506.50
  4. Step 4: Simplify right side
    1,155.94x = 878,139.31
  5. Step 5: Solve for x
    x = 878,139.31/1,155.94
  6. Step 6: Final answer
    x = 759.68

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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.