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Finding the Fourth Proportional to 786.57, 1,086.19 and 507.30

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Solution

The fourth proportional to 786.57, 1,086.19 and 507.30 is: 700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.57 : 1,086.19 = 507.30 : x
  2. Step 2: Convert to fraction form
    786.57/1,086.19 = 507.30/x
  3. Step 3: Cross multiply
    786.57x = 1,086.19 × 507.30
  4. Step 4: Simplify right side
    786.57x = 551,024.19
  5. Step 5: Solve for x
    x = 551,024.19/786.57
  6. Step 6: Final answer
    x = 700.54

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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.