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Finding the Fourth Proportional to 685.16, 1,032.51 and 620.21

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Solution

The fourth proportional to 685.16, 1,032.51 and 620.21 is: 934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.16 : 1,032.51 = 620.21 : x
  2. Step 2: Convert to fraction form
    685.16/1,032.51 = 620.21/x
  3. Step 3: Cross multiply
    685.16x = 1,032.51 × 620.21
  4. Step 4: Simplify right side
    685.16x = 640,373.03
  5. Step 5: Solve for x
    x = 640,373.03/685.16
  6. Step 6: Final answer
    x = 934.63

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1.5x scale

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.