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Finding the Fourth Proportional to 1,000.07, 1,378.67 and 704.42

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Solution

The fourth proportional to 1,000.07, 1,378.67 and 704.42 is: 971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.07 : 1,378.67 = 704.42 : x
  2. Step 2: Convert to fraction form
    1,000.07/1,378.67 = 704.42/x
  3. Step 3: Cross multiply
    1,000.07x = 1,378.67 × 704.42
  4. Step 4: Simplify right side
    1,000.07x = 971,162.72
  5. Step 5: Solve for x
    x = 971,162.72/1,000.07
  6. Step 6: Final answer
    x = 971.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.