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Finding the Fourth Proportional to 1,136.61, 1,704.62 and 314.67

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Solution

The fourth proportional to 1,136.61, 1,704.62 and 314.67 is: 471.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.61 : 1,704.62 = 314.67 : x
  2. Step 2: Convert to fraction form
    1,136.61/1,704.62 = 314.67/x
  3. Step 3: Cross multiply
    1,136.61x = 1,704.62 × 314.67
  4. Step 4: Simplify right side
    1,136.61x = 536,391.20
  5. Step 5: Solve for x
    x = 536,391.20/1,136.61
  6. Step 6: Final answer
    x = 471.92

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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.