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Finding the Fourth Proportional to 1,050.44, 1,582.78 and 871.84

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Solution

The fourth proportional to 1,050.44, 1,582.78 and 871.84 is: 1,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.44 : 1,582.78 = 871.84 : x
  2. Step 2: Convert to fraction form
    1,050.44/1,582.78 = 871.84/x
  3. Step 3: Cross multiply
    1,050.44x = 1,582.78 × 871.84
  4. Step 4: Simplify right side
    1,050.44x = 1,379,918.64
  5. Step 5: Solve for x
    x = 1,379,918.64/1,050.44
  6. Step 6: Final answer
    x = 1,313.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.