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Finding the Fourth Proportional to 857.74, 1,183.38 and 563.17

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Solution

The fourth proportional to 857.74, 1,183.38 and 563.17 is: 776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.74 : 1,183.38 = 563.17 : x
  2. Step 2: Convert to fraction form
    857.74/1,183.38 = 563.17/x
  3. Step 3: Cross multiply
    857.74x = 1,183.38 × 563.17
  4. Step 4: Simplify right side
    857.74x = 666,444.11
  5. Step 5: Solve for x
    x = 666,444.11/857.74
  6. Step 6: Final answer
    x = 776.98

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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.