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Finding the Fourth Proportional to 847.07, 1,271.15 and 360.13

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Solution

The fourth proportional to 847.07, 1,271.15 and 360.13 is: 540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.07 : 1,271.15 = 360.13 : x
  2. Step 2: Convert to fraction form
    847.07/1,271.15 = 360.13/x
  3. Step 3: Cross multiply
    847.07x = 1,271.15 × 360.13
  4. Step 4: Simplify right side
    847.07x = 457,773.66
  5. Step 5: Solve for x
    x = 457,773.66/847.07
  6. Step 6: Final answer
    x = 540.42

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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.