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Finding the Fourth Proportional to 720.37, 994.13 and 425.53

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Solution

The fourth proportional to 720.37, 994.13 and 425.53 is: 587.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.37 : 994.13 = 425.53 : x
  2. Step 2: Convert to fraction form
    720.37/994.13 = 425.53/x
  3. Step 3: Cross multiply
    720.37x = 994.13 × 425.53
  4. Step 4: Simplify right side
    720.37x = 423,030.72
  5. Step 5: Solve for x
    x = 423,030.72/720.37
  6. Step 6: Final answer
    x = 587.24

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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.