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Finding the Fourth Proportional to 857.38, 1,183.08 and 595.48

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Solution

The fourth proportional to 857.38, 1,183.08 and 595.48 is: 821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.38 : 1,183.08 = 595.48 : x
  2. Step 2: Convert to fraction form
    857.38/1,183.08 = 595.48/x
  3. Step 3: Cross multiply
    857.38x = 1,183.08 × 595.48
  4. Step 4: Simplify right side
    857.38x = 704,500.48
  5. Step 5: Solve for x
    x = 704,500.48/857.38
  6. Step 6: Final answer
    x = 821.69

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.