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Finding the Fourth Proportional to 975.91, 1,347.19 and 622.30

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Solution

The fourth proportional to 975.91, 1,347.19 and 622.30 is: 859.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.91 : 1,347.19 = 622.30 : x
  2. Step 2: Convert to fraction form
    975.91/1,347.19 = 622.30/x
  3. Step 3: Cross multiply
    975.91x = 1,347.19 × 622.30
  4. Step 4: Simplify right side
    975.91x = 838,357.24
  5. Step 5: Solve for x
    x = 838,357.24/975.91
  6. Step 6: Final answer
    x = 859.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.