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Finding the Fourth Proportional to 1,523.86, 2,285.51 and 743.08

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Solution

The fourth proportional to 1,523.86, 2,285.51 and 743.08 is: 1,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.86 : 2,285.51 = 743.08 : x
  2. Step 2: Convert to fraction form
    1,523.86/2,285.51 = 743.08/x
  3. Step 3: Cross multiply
    1,523.86x = 2,285.51 × 743.08
  4. Step 4: Simplify right side
    1,523.86x = 1,698,313.06
  5. Step 5: Solve for x
    x = 1,698,313.06/1,523.86
  6. Step 6: Final answer
    x = 1,114.48

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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.