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Finding the Fourth Proportional to 1,020.96, 1,530.24 and 636.48

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Solution

The fourth proportional to 1,020.96, 1,530.24 and 636.48 is: 953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.96 : 1,530.24 = 636.48 : x
  2. Step 2: Convert to fraction form
    1,020.96/1,530.24 = 636.48/x
  3. Step 3: Cross multiply
    1,020.96x = 1,530.24 × 636.48
  4. Step 4: Simplify right side
    1,020.96x = 973,967.16
  5. Step 5: Solve for x
    x = 973,967.16/1,020.96
  6. Step 6: Final answer
    x = 953.97

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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.