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Finding the Fourth Proportional to 786.82, 1,086.30 and 507.16

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Solution

The fourth proportional to 786.82, 1,086.30 and 507.16 is: 700.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.82 : 1,086.30 = 507.16 : x
  2. Step 2: Convert to fraction form
    786.82/1,086.30 = 507.16/x
  3. Step 3: Cross multiply
    786.82x = 1,086.30 × 507.16
  4. Step 4: Simplify right side
    786.82x = 550,927.91
  5. Step 5: Solve for x
    x = 550,927.91/786.82
  6. Step 6: Final answer
    x = 700.20

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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.