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Finding the Fourth Proportional to 1,501.83, 2,252.94 and 527.79

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Solution

The fourth proportional to 1,501.83, 2,252.94 and 527.79 is: 791.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,501.83 : 2,252.94 = 527.79 : x
  2. Step 2: Convert to fraction form
    1,501.83/2,252.94 = 527.79/x
  3. Step 3: Cross multiply
    1,501.83x = 2,252.94 × 527.79
  4. Step 4: Simplify right side
    1,501.83x = 1,189,079.20
  5. Step 5: Solve for x
    x = 1,189,079.20/1,501.83
  6. Step 6: Final answer
    x = 791.75

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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.