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Finding the Fourth Proportional to 1,007.01, 1,389.33 and 633.85

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Solution

The fourth proportional to 1,007.01, 1,389.33 and 633.85 is: 874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.01 : 1,389.33 = 633.85 : x
  2. Step 2: Convert to fraction form
    1,007.01/1,389.33 = 633.85/x
  3. Step 3: Cross multiply
    1,007.01x = 1,389.33 × 633.85
  4. Step 4: Simplify right side
    1,007.01x = 880,631.33
  5. Step 5: Solve for x
    x = 880,631.33/1,007.01
  6. Step 6: Final answer
    x = 874.50

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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.