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Finding the Fourth Proportional to 857.52, 1,183.40 and 508.24

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Solution

The fourth proportional to 857.52, 1,183.40 and 508.24 is: 701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.52 : 1,183.40 = 508.24 : x
  2. Step 2: Convert to fraction form
    857.52/1,183.40 = 508.24/x
  3. Step 3: Cross multiply
    857.52x = 1,183.40 × 508.24
  4. Step 4: Simplify right side
    857.52x = 601,451.22
  5. Step 5: Solve for x
    x = 601,451.22/857.52
  6. Step 6: Final answer
    x = 701.38

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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.