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Finding the Fourth Proportional to 894.68, 1,234.64 and 563.32

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Solution

The fourth proportional to 894.68, 1,234.64 and 563.32 is: 777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.68 : 1,234.64 = 563.32 : x
  2. Step 2: Convert to fraction form
    894.68/1,234.64 = 563.32/x
  3. Step 3: Cross multiply
    894.68x = 1,234.64 × 563.32
  4. Step 4: Simplify right side
    894.68x = 695,497.40
  5. Step 5: Solve for x
    x = 695,497.40/894.68
  6. Step 6: Final answer
    x = 777.37

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Double scale
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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.