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Finding the Fourth Proportional to 783.75, 1,172.00 and 586.44

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Solution

The fourth proportional to 783.75, 1,172.00 and 586.44 is: 876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.75 : 1,172.00 = 586.44 : x
  2. Step 2: Convert to fraction form
    783.75/1,172.00 = 586.44/x
  3. Step 3: Cross multiply
    783.75x = 1,172.00 × 586.44
  4. Step 4: Simplify right side
    783.75x = 687,304.75
  5. Step 5: Solve for x
    x = 687,304.75/783.75
  6. Step 6: Final answer
    x = 876.94

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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.