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Finding the Fourth Proportional to 687.02, 947.22 and 500.36

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Solution

The fourth proportional to 687.02, 947.22 and 500.36 is: 689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.02 : 947.22 = 500.36 : x
  2. Step 2: Convert to fraction form
    687.02/947.22 = 500.36/x
  3. Step 3: Cross multiply
    687.02x = 947.22 × 500.36
  4. Step 4: Simplify right side
    687.02x = 473,951.00
  5. Step 5: Solve for x
    x = 473,951.00/687.02
  6. Step 6: Final answer
    x = 689.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.