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Finding the Fourth Proportional to 856.50, 1,181.97 and 507.26

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Solution

The fourth proportional to 856.50, 1,181.97 and 507.26 is: 700.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.50 : 1,181.97 = 507.26 : x
  2. Step 2: Convert to fraction form
    856.50/1,181.97 = 507.26/x
  3. Step 3: Cross multiply
    856.50x = 1,181.97 × 507.26
  4. Step 4: Simplify right side
    856.50x = 599,560.19
  5. Step 5: Solve for x
    x = 599,560.19/856.50
  6. Step 6: Final answer
    x = 700.01

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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.