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Finding the Fourth Proportional to 1,007.45, 1,390.62 and 609.33

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Solution

The fourth proportional to 1,007.45, 1,390.62 and 609.33 is: 841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.45 : 1,390.62 = 609.33 : x
  2. Step 2: Convert to fraction form
    1,007.45/1,390.62 = 609.33/x
  3. Step 3: Cross multiply
    1,007.45x = 1,390.62 × 609.33
  4. Step 4: Simplify right side
    1,007.45x = 847,353.98
  5. Step 5: Solve for x
    x = 847,353.98/1,007.45
  6. Step 6: Final answer
    x = 841.09

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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.