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Finding the Fourth Proportional to 977.35, 1,463.58 and 651.73

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Solution

The fourth proportional to 977.35, 1,463.58 and 651.73 is: 975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.35 : 1,463.58 = 651.73 : x
  2. Step 2: Convert to fraction form
    977.35/1,463.58 = 651.73/x
  3. Step 3: Cross multiply
    977.35x = 1,463.58 × 651.73
  4. Step 4: Simplify right side
    977.35x = 953,858.99
  5. Step 5: Solve for x
    x = 953,858.99/977.35
  6. Step 6: Final answer
    x = 975.96

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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.