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Finding the Fourth Proportional to 1,529.67, 2,294.43 and 475.48

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Solution

The fourth proportional to 1,529.67, 2,294.43 and 475.48 is: 713.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.67 : 2,294.43 = 475.48 : x
  2. Step 2: Convert to fraction form
    1,529.67/2,294.43 = 475.48/x
  3. Step 3: Cross multiply
    1,529.67x = 2,294.43 × 475.48
  4. Step 4: Simplify right side
    1,529.67x = 1,090,944.10
  5. Step 5: Solve for x
    x = 1,090,944.10/1,529.67
  6. Step 6: Final answer
    x = 713.19

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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.