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Finding the Fourth Proportional to 1,051.12, 1,576.64 and 320.96

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Solution

The fourth proportional to 1,051.12, 1,576.64 and 320.96 is: 481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.12 : 1,576.64 = 320.96 : x
  2. Step 2: Convert to fraction form
    1,051.12/1,576.64 = 320.96/x
  3. Step 3: Cross multiply
    1,051.12x = 1,576.64 × 320.96
  4. Step 4: Simplify right side
    1,051.12x = 506,038.37
  5. Step 5: Solve for x
    x = 506,038.37/1,051.12
  6. Step 6: Final answer
    x = 481.43

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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.