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Finding the Fourth Proportional to 783.54, 1,175.41 and 289.95

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Solution

The fourth proportional to 783.54, 1,175.41 and 289.95 is: 434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.54 : 1,175.41 = 289.95 : x
  2. Step 2: Convert to fraction form
    783.54/1,175.41 = 289.95/x
  3. Step 3: Cross multiply
    783.54x = 1,175.41 × 289.95
  4. Step 4: Simplify right side
    783.54x = 340,806.08
  5. Step 5: Solve for x
    x = 340,806.08/783.54
  6. Step 6: Final answer
    x = 434.96

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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.