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Finding the Fourth Proportional to 758.51, 1,136.54 and 685.61

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Solution

The fourth proportional to 758.51, 1,136.54 and 685.61 is: 1,027.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.51 : 1,136.54 = 685.61 : x
  2. Step 2: Convert to fraction form
    758.51/1,136.54 = 685.61/x
  3. Step 3: Cross multiply
    758.51x = 1,136.54 × 685.61
  4. Step 4: Simplify right side
    758.51x = 779,223.19
  5. Step 5: Solve for x
    x = 779,223.19/758.51
  6. Step 6: Final answer
    x = 1,027.31

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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.