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Finding the Fourth Proportional to 830.22, 1,145.78 and 457.26

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Solution

The fourth proportional to 830.22, 1,145.78 and 457.26 is: 631.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.22 : 1,145.78 = 457.26 : x
  2. Step 2: Convert to fraction form
    830.22/1,145.78 = 457.26/x
  3. Step 3: Cross multiply
    830.22x = 1,145.78 × 457.26
  4. Step 4: Simplify right side
    830.22x = 523,919.36
  5. Step 5: Solve for x
    x = 523,919.36/830.22
  6. Step 6: Final answer
    x = 631.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.