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Finding the Fourth Proportional to 1,154.54, 1,731.51 and 505.13

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Solution

The fourth proportional to 1,154.54, 1,731.51 and 505.13 is: 757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.54 : 1,731.51 = 505.13 : x
  2. Step 2: Convert to fraction form
    1,154.54/1,731.51 = 505.13/x
  3. Step 3: Cross multiply
    1,154.54x = 1,731.51 × 505.13
  4. Step 4: Simplify right side
    1,154.54x = 874,628.99
  5. Step 5: Solve for x
    x = 874,628.99/1,154.54
  6. Step 6: Final answer
    x = 757.55

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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.