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Finding the Fourth Proportional to 835.66, 1,153.22 and 457.56

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Solution

The fourth proportional to 835.66, 1,153.22 and 457.56 is: 631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.66 : 1,153.22 = 457.56 : x
  2. Step 2: Convert to fraction form
    835.66/1,153.22 = 457.56/x
  3. Step 3: Cross multiply
    835.66x = 1,153.22 × 457.56
  4. Step 4: Simplify right side
    835.66x = 527,667.34
  5. Step 5: Solve for x
    x = 527,667.34/835.66
  6. Step 6: Final answer
    x = 631.44

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1.5x scale

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.