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Finding the Fourth Proportional to 646.17, 965.39 and 631.59

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Solution

The fourth proportional to 646.17, 965.39 and 631.59 is: 943.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.17 : 965.39 = 631.59 : x
  2. Step 2: Convert to fraction form
    646.17/965.39 = 631.59/x
  3. Step 3: Cross multiply
    646.17x = 965.39 × 631.59
  4. Step 4: Simplify right side
    646.17x = 609,730.67
  5. Step 5: Solve for x
    x = 609,730.67/646.17
  6. Step 6: Final answer
    x = 943.61

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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.