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Finding the Fourth Proportional to 649.81, 970.08 and 627.02

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Solution

The fourth proportional to 649.81, 970.08 and 627.02 is: 936.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.81 : 970.08 = 627.02 : x
  2. Step 2: Convert to fraction form
    649.81/970.08 = 627.02/x
  3. Step 3: Cross multiply
    649.81x = 970.08 × 627.02
  4. Step 4: Simplify right side
    649.81x = 608,256.43
  5. Step 5: Solve for x
    x = 608,256.43/649.81
  6. Step 6: Final answer
    x = 936.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.