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Finding the Fourth Proportional to 646.17, 969.86 and 502.80

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Solution

The fourth proportional to 646.17, 969.86 and 502.80 is: 754.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.17 : 969.86 = 502.80 : x
  2. Step 2: Convert to fraction form
    646.17/969.86 = 502.80/x
  3. Step 3: Cross multiply
    646.17x = 969.86 × 502.80
  4. Step 4: Simplify right side
    646.17x = 487,645.61
  5. Step 5: Solve for x
    x = 487,645.61/646.17
  6. Step 6: Final answer
    x = 754.67

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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.