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Finding the Fourth Proportional to 645.84, 974.16 and 626.40

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Solution

The fourth proportional to 645.84, 974.16 and 626.40 is: 944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.84 : 974.16 = 626.40 : x
  2. Step 2: Convert to fraction form
    645.84/974.16 = 626.40/x
  3. Step 3: Cross multiply
    645.84x = 974.16 × 626.40
  4. Step 4: Simplify right side
    645.84x = 610,213.82
  5. Step 5: Solve for x
    x = 610,213.82/645.84
  6. Step 6: Final answer
    x = 944.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.