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Finding the Fourth Proportional to 835.49, 1,152.96 and 462.47

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Solution

The fourth proportional to 835.49, 1,152.96 and 462.47 is: 638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.49 : 1,152.96 = 462.47 : x
  2. Step 2: Convert to fraction form
    835.49/1,152.96 = 462.47/x
  3. Step 3: Cross multiply
    835.49x = 1,152.96 × 462.47
  4. Step 4: Simplify right side
    835.49x = 533,212.29
  5. Step 5: Solve for x
    x = 533,212.29/835.49
  6. Step 6: Final answer
    x = 638.21

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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.