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Finding the Fourth Proportional to 1,051.92, 1,576.61 and 465.66

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Solution

The fourth proportional to 1,051.92, 1,576.61 and 465.66 is: 697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.92 : 1,576.61 = 465.66 : x
  2. Step 2: Convert to fraction form
    1,051.92/1,576.61 = 465.66/x
  3. Step 3: Cross multiply
    1,051.92x = 1,576.61 × 465.66
  4. Step 4: Simplify right side
    1,051.92x = 734,157.89
  5. Step 5: Solve for x
    x = 734,157.89/1,051.92
  6. Step 6: Final answer
    x = 697.92

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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.