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Finding the Fourth Proportional to 685.39, 945.66 and 510.43

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Solution

The fourth proportional to 685.39, 945.66 and 510.43 is: 704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.39 : 945.66 = 510.43 : x
  2. Step 2: Convert to fraction form
    685.39/945.66 = 510.43/x
  3. Step 3: Cross multiply
    685.39x = 945.66 × 510.43
  4. Step 4: Simplify right side
    685.39x = 482,693.23
  5. Step 5: Solve for x
    x = 482,693.23/685.39
  6. Step 6: Final answer
    x = 704.26

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.