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Finding the Fourth Proportional to 1,006.03, 1,389.45 and 849.98

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Solution

The fourth proportional to 1,006.03, 1,389.45 and 849.98 is: 1,173.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.03 : 1,389.45 = 849.98 : x
  2. Step 2: Convert to fraction form
    1,006.03/1,389.45 = 849.98/x
  3. Step 3: Cross multiply
    1,006.03x = 1,389.45 × 849.98
  4. Step 4: Simplify right side
    1,006.03x = 1,181,004.71
  5. Step 5: Solve for x
    x = 1,181,004.71/1,006.03
  6. Step 6: Final answer
    x = 1,173.93

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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.