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Finding the Fourth Proportional to 720.44, 993.69 and 499.46

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Solution

The fourth proportional to 720.44, 993.69 and 499.46 is: 688.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.44 : 993.69 = 499.46 : x
  2. Step 2: Convert to fraction form
    720.44/993.69 = 499.46/x
  3. Step 3: Cross multiply
    720.44x = 993.69 × 499.46
  4. Step 4: Simplify right side
    720.44x = 496,303.44
  5. Step 5: Solve for x
    x = 496,303.44/720.44
  6. Step 6: Final answer
    x = 688.89

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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.