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Finding the Fourth Proportional to 786.55, 1,086.16 and 507.26

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Solution

The fourth proportional to 786.55, 1,086.16 and 507.26 is: 700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.55 : 1,086.16 = 507.26 : x
  2. Step 2: Convert to fraction form
    786.55/1,086.16 = 507.26/x
  3. Step 3: Cross multiply
    786.55x = 1,086.16 × 507.26
  4. Step 4: Simplify right side
    786.55x = 550,965.52
  5. Step 5: Solve for x
    x = 550,965.52/786.55
  6. Step 6: Final answer
    x = 700.48

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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.