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Finding the Fourth Proportional to 835.37, 1,152.83 and 457.30

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Solution

The fourth proportional to 835.37, 1,152.83 and 457.30 is: 631.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.37 : 1,152.83 = 457.30 : x
  2. Step 2: Convert to fraction form
    835.37/1,152.83 = 457.30/x
  3. Step 3: Cross multiply
    835.37x = 1,152.83 × 457.30
  4. Step 4: Simplify right side
    835.37x = 527,191.09
  5. Step 5: Solve for x
    x = 527,191.09/835.37
  6. Step 6: Final answer
    x = 631.08

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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.