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Finding the Fourth Proportional to 646.18, 968.36 and 549.61

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Solution

The fourth proportional to 646.18, 968.36 and 549.61 is: 823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.18 : 968.36 = 549.61 : x
  2. Step 2: Convert to fraction form
    646.18/968.36 = 549.61/x
  3. Step 3: Cross multiply
    646.18x = 968.36 × 549.61
  4. Step 4: Simplify right side
    646.18x = 532,220.34
  5. Step 5: Solve for x
    x = 532,220.34/646.18
  6. Step 6: Final answer
    x = 823.64

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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.