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Finding the Fourth Proportional to 1,000.19, 1,378.07 and 747.06

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Solution

The fourth proportional to 1,000.19, 1,378.07 and 747.06 is: 1,029.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.19 : 1,378.07 = 747.06 : x
  2. Step 2: Convert to fraction form
    1,000.19/1,378.07 = 747.06/x
  3. Step 3: Cross multiply
    1,000.19x = 1,378.07 × 747.06
  4. Step 4: Simplify right side
    1,000.19x = 1,029,500.97
  5. Step 5: Solve for x
    x = 1,029,500.97/1,000.19
  6. Step 6: Final answer
    x = 1,029.31

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