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Finding the Fourth Proportional to 1,052.86, 1,577.85 and 667.42

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Solution

The fourth proportional to 1,052.86, 1,577.85 and 667.42 is: 1,000.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.86 : 1,577.85 = 667.42 : x
  2. Step 2: Convert to fraction form
    1,052.86/1,577.85 = 667.42/x
  3. Step 3: Cross multiply
    1,052.86x = 1,577.85 × 667.42
  4. Step 4: Simplify right side
    1,052.86x = 1,053,088.65
  5. Step 5: Solve for x
    x = 1,053,088.65/1,052.86
  6. Step 6: Final answer
    x = 1,000.22

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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.