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Finding the Fourth Proportional to 1,155.98, 1,734.58 and 506.56

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Solution

The fourth proportional to 1,155.98, 1,734.58 and 506.56 is: 760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.98 : 1,734.58 = 506.56 : x
  2. Step 2: Convert to fraction form
    1,155.98/1,734.58 = 506.56/x
  3. Step 3: Cross multiply
    1,155.98x = 1,734.58 × 506.56
  4. Step 4: Simplify right side
    1,155.98x = 878,668.84
  5. Step 5: Solve for x
    x = 878,668.84/1,155.98
  6. Step 6: Final answer
    x = 760.11

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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.