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Finding the Fourth Proportional to 977.02, 1,463.40 and 489.22

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Solution

The fourth proportional to 977.02, 1,463.40 and 489.22 is: 732.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.02 : 1,463.40 = 489.22 : x
  2. Step 2: Convert to fraction form
    977.02/1,463.40 = 489.22/x
  3. Step 3: Cross multiply
    977.02x = 1,463.40 × 489.22
  4. Step 4: Simplify right side
    977.02x = 715,924.55
  5. Step 5: Solve for x
    x = 715,924.55/977.02
  6. Step 6: Final answer
    x = 732.76

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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.