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Finding the Fourth Proportional to 1,015.97, 1,523.76 and 357.93

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Solution

The fourth proportional to 1,015.97, 1,523.76 and 357.93 is: 536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.97 : 1,523.76 = 357.93 : x
  2. Step 2: Convert to fraction form
    1,015.97/1,523.76 = 357.93/x
  3. Step 3: Cross multiply
    1,015.97x = 1,523.76 × 357.93
  4. Step 4: Simplify right side
    1,015.97x = 545,399.42
  5. Step 5: Solve for x
    x = 545,399.42/1,015.97
  6. Step 6: Final answer
    x = 536.83

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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.