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Finding the Fourth Proportional to 977.96, 1,463.46 and 784.22

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Solution

The fourth proportional to 977.96, 1,463.46 and 784.22 is: 1,173.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.96 : 1,463.46 = 784.22 : x
  2. Step 2: Convert to fraction form
    977.96/1,463.46 = 784.22/x
  3. Step 3: Cross multiply
    977.96x = 1,463.46 × 784.22
  4. Step 4: Simplify right side
    977.96x = 1,147,674.60
  5. Step 5: Solve for x
    x = 1,147,674.60/977.96
  6. Step 6: Final answer
    x = 1,173.54

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Why These Related Problems?

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