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Finding the Fourth Proportional to 1,173.09, 1,758.42 and 392.51

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Solution

The fourth proportional to 1,173.09, 1,758.42 and 392.51 is: 588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.09 : 1,758.42 = 392.51 : x
  2. Step 2: Convert to fraction form
    1,173.09/1,758.42 = 392.51/x
  3. Step 3: Cross multiply
    1,173.09x = 1,758.42 × 392.51
  4. Step 4: Simplify right side
    1,173.09x = 690,193.04
  5. Step 5: Solve for x
    x = 690,193.04/1,173.09
  6. Step 6: Final answer
    x = 588.35

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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.