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Finding the Fourth Proportional to 786.32, 1,177.40 and 507.92

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Solution

The fourth proportional to 786.32, 1,177.40 and 507.92 is: 760.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.32 : 1,177.40 = 507.92 : x
  2. Step 2: Convert to fraction form
    786.32/1,177.40 = 507.92/x
  3. Step 3: Cross multiply
    786.32x = 1,177.40 × 507.92
  4. Step 4: Simplify right side
    786.32x = 598,025.01
  5. Step 5: Solve for x
    x = 598,025.01/786.32
  6. Step 6: Final answer
    x = 760.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.