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Finding the Fourth Proportional to 847.50, 1,271.67 and 360.66

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Solution

The fourth proportional to 847.50, 1,271.67 and 360.66 is: 541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.50 : 1,271.67 = 360.66 : x
  2. Step 2: Convert to fraction form
    847.50/1,271.67 = 360.66/x
  3. Step 3: Cross multiply
    847.50x = 1,271.67 × 360.66
  4. Step 4: Simplify right side
    847.50x = 458,640.50
  5. Step 5: Solve for x
    x = 458,640.50/847.50
  6. Step 6: Final answer
    x = 541.17

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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.