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Finding the Fourth Proportional to 1,050.42, 1,571.96 and 697.80

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Solution

The fourth proportional to 1,050.42, 1,571.96 and 697.80 is: 1,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.42 : 1,571.96 = 697.80 : x
  2. Step 2: Convert to fraction form
    1,050.42/1,571.96 = 697.80/x
  3. Step 3: Cross multiply
    1,050.42x = 1,571.96 × 697.80
  4. Step 4: Simplify right side
    1,050.42x = 1,096,913.69
  5. Step 5: Solve for x
    x = 1,096,913.69/1,050.42
  6. Step 6: Final answer
    x = 1,044.26

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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.