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Finding the Fourth Proportional to 647.71, 969.71 and 602.15

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Solution

The fourth proportional to 647.71, 969.71 and 602.15 is: 901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.71 : 969.71 = 602.15 : x
  2. Step 2: Convert to fraction form
    647.71/969.71 = 602.15/x
  3. Step 3: Cross multiply
    647.71x = 969.71 × 602.15
  4. Step 4: Simplify right side
    647.71x = 583,903.02
  5. Step 5: Solve for x
    x = 583,903.02/647.71
  6. Step 6: Final answer
    x = 901.49

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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.