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Finding the Fourth Proportional to 1,052.10, 1,451.73 and 609.96

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Solution

The fourth proportional to 1,052.10, 1,451.73 and 609.96 is: 841.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.10 : 1,451.73 = 609.96 : x
  2. Step 2: Convert to fraction form
    1,052.10/1,451.73 = 609.96/x
  3. Step 3: Cross multiply
    1,052.10x = 1,451.73 × 609.96
  4. Step 4: Simplify right side
    1,052.10x = 885,497.23
  5. Step 5: Solve for x
    x = 885,497.23/1,052.10
  6. Step 6: Final answer
    x = 841.65

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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.