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Finding the Fourth Proportional to 1,155.10, 1,732.02 and 505.07

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Solution

The fourth proportional to 1,155.10, 1,732.02 and 505.07 is: 757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.10 : 1,732.02 = 505.07 : x
  2. Step 2: Convert to fraction form
    1,155.10/1,732.02 = 505.07/x
  3. Step 3: Cross multiply
    1,155.10x = 1,732.02 × 505.07
  4. Step 4: Simplify right side
    1,155.10x = 874,791.34
  5. Step 5: Solve for x
    x = 874,791.34/1,155.10
  6. Step 6: Final answer
    x = 757.33

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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.