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Finding the Fourth Proportional to 1,133.09, 1,699.55 and 392.52

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Solution

The fourth proportional to 1,133.09, 1,699.55 and 392.52 is: 588.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.09 : 1,699.55 = 392.52 : x
  2. Step 2: Convert to fraction form
    1,133.09/1,699.55 = 392.52/x
  3. Step 3: Cross multiply
    1,133.09x = 1,699.55 × 392.52
  4. Step 4: Simplify right side
    1,133.09x = 667,105.40
  5. Step 5: Solve for x
    x = 667,105.40/1,133.09
  6. Step 6: Final answer
    x = 588.75

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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.