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Finding the Fourth Proportional to 856.21, 1,181.57 and 463.23

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Solution

The fourth proportional to 856.21, 1,181.57 and 463.23 is: 639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.21 : 1,181.57 = 463.23 : x
  2. Step 2: Convert to fraction form
    856.21/1,181.57 = 463.23/x
  3. Step 3: Cross multiply
    856.21x = 1,181.57 × 463.23
  4. Step 4: Simplify right side
    856.21x = 547,336.35
  5. Step 5: Solve for x
    x = 547,336.35/856.21
  6. Step 6: Final answer
    x = 639.26

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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.