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Finding the Fourth Proportional to 693.20, 953.16 and 664.40

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Solution

The fourth proportional to 693.20, 953.16 and 664.40 is: 913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.20 : 953.16 = 664.40 : x
  2. Step 2: Convert to fraction form
    693.20/953.16 = 664.40/x
  3. Step 3: Cross multiply
    693.20x = 953.16 × 664.40
  4. Step 4: Simplify right side
    693.20x = 633,279.50
  5. Step 5: Solve for x
    x = 633,279.50/693.20
  6. Step 6: Final answer
    x = 913.56

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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.