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Finding the Fourth Proportional to 710.37, 1,064.44 and 466.36

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Solution

The fourth proportional to 710.37, 1,064.44 and 466.36 is: 698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.37 : 1,064.44 = 466.36 : x
  2. Step 2: Convert to fraction form
    710.37/1,064.44 = 466.36/x
  3. Step 3: Cross multiply
    710.37x = 1,064.44 × 466.36
  4. Step 4: Simplify right side
    710.37x = 496,410.16
  5. Step 5: Solve for x
    x = 496,410.16/710.37
  6. Step 6: Final answer
    x = 698.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.