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Finding the Fourth Proportional to 894.76, 1,234.27 and 563.06

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Solution

The fourth proportional to 894.76, 1,234.27 and 563.06 is: 776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.76 : 1,234.27 = 563.06 : x
  2. Step 2: Convert to fraction form
    894.76/1,234.27 = 563.06/x
  3. Step 3: Cross multiply
    894.76x = 1,234.27 × 563.06
  4. Step 4: Simplify right side
    894.76x = 694,971.86
  5. Step 5: Solve for x
    x = 694,971.86/894.76
  6. Step 6: Final answer
    x = 776.72

Related Problems

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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.