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Finding the Fourth Proportional to 684.17, 1,032.20 and 650.01

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Solution

The fourth proportional to 684.17, 1,032.20 and 650.01 is: 980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.17 : 1,032.20 = 650.01 : x
  2. Step 2: Convert to fraction form
    684.17/1,032.20 = 650.01/x
  3. Step 3: Cross multiply
    684.17x = 1,032.20 × 650.01
  4. Step 4: Simplify right side
    684.17x = 670,940.32
  5. Step 5: Solve for x
    x = 670,940.32/684.17
  6. Step 6: Final answer
    x = 980.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.