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Finding the Fourth Proportional to 758.07, 1,136.38 and 296.14

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Solution

The fourth proportional to 758.07, 1,136.38 and 296.14 is: 443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.07 : 1,136.38 = 296.14 : x
  2. Step 2: Convert to fraction form
    758.07/1,136.38 = 296.14/x
  3. Step 3: Cross multiply
    758.07x = 1,136.38 × 296.14
  4. Step 4: Simplify right side
    758.07x = 336,526.83
  5. Step 5: Solve for x
    x = 336,526.83/758.07
  6. Step 6: Final answer
    x = 443.93

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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.