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Finding the Fourth Proportional to 685.05, 945.44 and 510.09

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Solution

The fourth proportional to 685.05, 945.44 and 510.09 is: 703.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.05 : 945.44 = 510.09 : x
  2. Step 2: Convert to fraction form
    685.05/945.44 = 510.09/x
  3. Step 3: Cross multiply
    685.05x = 945.44 × 510.09
  4. Step 4: Simplify right side
    685.05x = 482,259.49
  5. Step 5: Solve for x
    x = 482,259.49/685.05
  6. Step 6: Final answer
    x = 703.98

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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.