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Finding the Fourth Proportional to 894.76, 1,234.86 and 563.44

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Solution

The fourth proportional to 894.76, 1,234.86 and 563.44 is: 777.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.76 : 1,234.86 = 563.44 : x
  2. Step 2: Convert to fraction form
    894.76/1,234.86 = 563.44/x
  3. Step 3: Cross multiply
    894.76x = 1,234.86 × 563.44
  4. Step 4: Simplify right side
    894.76x = 695,769.52
  5. Step 5: Solve for x
    x = 695,769.52/894.76
  6. Step 6: Final answer
    x = 777.60

Related Problems

Find fourth proportional to 447.38, 617.43 and 281.72
Half scale
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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.