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Finding the Fourth Proportional to 976.24, 1,463.01 and 647.56

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Solution

The fourth proportional to 976.24, 1,463.01 and 647.56 is: 970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.24 : 1,463.01 = 647.56 : x
  2. Step 2: Convert to fraction form
    976.24/1,463.01 = 647.56/x
  3. Step 3: Cross multiply
    976.24x = 1,463.01 × 647.56
  4. Step 4: Simplify right side
    976.24x = 947,386.76
  5. Step 5: Solve for x
    x = 947,386.76/976.24
  6. Step 6: Final answer
    x = 970.44

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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.