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Finding the Fourth Proportional to 786.93, 1,177.95 and 434.64

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Solution

The fourth proportional to 786.93, 1,177.95 and 434.64 is: 650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.93 : 1,177.95 = 434.64 : x
  2. Step 2: Convert to fraction form
    786.93/1,177.95 = 434.64/x
  3. Step 3: Cross multiply
    786.93x = 1,177.95 × 434.64
  4. Step 4: Simplify right side
    786.93x = 511,984.19
  5. Step 5: Solve for x
    x = 511,984.19/786.93
  6. Step 6: Final answer
    x = 650.61

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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.