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Finding the Fourth Proportional to 975.84, 1,347.10 and 622.24

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Solution

The fourth proportional to 975.84, 1,347.10 and 622.24 is: 858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.84 : 1,347.10 = 622.24 : x
  2. Step 2: Convert to fraction form
    975.84/1,347.10 = 622.24/x
  3. Step 3: Cross multiply
    975.84x = 1,347.10 × 622.24
  4. Step 4: Simplify right side
    975.84x = 838,214.57
  5. Step 5: Solve for x
    x = 838,214.57/975.84
  6. Step 6: Final answer
    x = 858.97

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Why These Related Problems?

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