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Finding the Fourth Proportional to 1,155.01, 1,732.49 and 375.01

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Solution

The fourth proportional to 1,155.01, 1,732.49 and 375.01 is: 562.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.01 : 1,732.49 = 375.01 : x
  2. Step 2: Convert to fraction form
    1,155.01/1,732.49 = 375.01/x
  3. Step 3: Cross multiply
    1,155.01x = 1,732.49 × 375.01
  4. Step 4: Simplify right side
    1,155.01x = 649,704.18
  5. Step 5: Solve for x
    x = 649,704.18/1,155.01
  6. Step 6: Final answer
    x = 562.51

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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.