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Finding the Fourth Proportional to 835.58, 1,153.09 and 462.58

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Solution

The fourth proportional to 835.58, 1,153.09 and 462.58 is: 638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.58 : 1,153.09 = 462.58 : x
  2. Step 2: Convert to fraction form
    835.58/1,153.09 = 462.58/x
  3. Step 3: Cross multiply
    835.58x = 1,153.09 × 462.58
  4. Step 4: Simplify right side
    835.58x = 533,396.37
  5. Step 5: Solve for x
    x = 533,396.37/835.58
  6. Step 6: Final answer
    x = 638.35

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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.