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Finding the Fourth Proportional to 1,129.99, 1,693.47 and 512.93

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Solution

The fourth proportional to 1,129.99, 1,693.47 and 512.93 is: 768.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.99 : 1,693.47 = 512.93 : x
  2. Step 2: Convert to fraction form
    1,129.99/1,693.47 = 512.93/x
  3. Step 3: Cross multiply
    1,129.99x = 1,693.47 × 512.93
  4. Step 4: Simplify right side
    1,129.99x = 868,631.57
  5. Step 5: Solve for x
    x = 868,631.57/1,129.99
  6. Step 6: Final answer
    x = 768.71

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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.