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Finding the Fourth Proportional to 783.66, 1,175.20 and 289.94

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Solution

The fourth proportional to 783.66, 1,175.20 and 289.94 is: 434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.66 : 1,175.20 = 289.94 : x
  2. Step 2: Convert to fraction form
    783.66/1,175.20 = 289.94/x
  3. Step 3: Cross multiply
    783.66x = 1,175.20 × 289.94
  4. Step 4: Simplify right side
    783.66x = 340,737.49
  5. Step 5: Solve for x
    x = 340,737.49/783.66
  6. Step 6: Final answer
    x = 434.80

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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.