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Finding the Fourth Proportional to 894.69, 1,342.31 and 462.15

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Solution

The fourth proportional to 894.69, 1,342.31 and 462.15 is: 693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.69 : 1,342.31 = 462.15 : x
  2. Step 2: Convert to fraction form
    894.69/1,342.31 = 462.15/x
  3. Step 3: Cross multiply
    894.69x = 1,342.31 × 462.15
  4. Step 4: Simplify right side
    894.69x = 620,346.26
  5. Step 5: Solve for x
    x = 620,346.26/894.69
  6. Step 6: Final answer
    x = 693.36

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.