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Finding the Fourth Proportional to 1,167.07, 1,749.09 and 472.93

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Solution

The fourth proportional to 1,167.07, 1,749.09 and 472.93 is: 708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.07 : 1,749.09 = 472.93 : x
  2. Step 2: Convert to fraction form
    1,167.07/1,749.09 = 472.93/x
  3. Step 3: Cross multiply
    1,167.07x = 1,749.09 × 472.93
  4. Step 4: Simplify right side
    1,167.07x = 827,188.50
  5. Step 5: Solve for x
    x = 827,188.50/1,167.07
  6. Step 6: Final answer
    x = 708.77

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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.