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Finding the Fourth Proportional to 835.83, 1,153.43 and 457.72

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Solution

The fourth proportional to 835.83, 1,153.43 and 457.72 is: 631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.83 : 1,153.43 = 457.72 : x
  2. Step 2: Convert to fraction form
    835.83/1,153.43 = 457.72/x
  3. Step 3: Cross multiply
    835.83x = 1,153.43 × 457.72
  4. Step 4: Simplify right side
    835.83x = 527,944.82
  5. Step 5: Solve for x
    x = 527,944.82/835.83
  6. Step 6: Final answer
    x = 631.64

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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.