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Finding the Fourth Proportional to 758.55, 1,137.52 and 289.95

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Solution

The fourth proportional to 758.55, 1,137.52 and 289.95 is: 434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.55 : 1,137.52 = 289.95 : x
  2. Step 2: Convert to fraction form
    758.55/1,137.52 = 289.95/x
  3. Step 3: Cross multiply
    758.55x = 1,137.52 × 289.95
  4. Step 4: Simplify right side
    758.55x = 329,823.92
  5. Step 5: Solve for x
    x = 329,823.92/758.55
  6. Step 6: Final answer
    x = 434.81

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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.