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Finding the Fourth Proportional to 1,070.74, 1,606.14 and 523.36

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Solution

The fourth proportional to 1,070.74, 1,606.14 and 523.36 is: 785.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.74 : 1,606.14 = 523.36 : x
  2. Step 2: Convert to fraction form
    1,070.74/1,606.14 = 523.36/x
  3. Step 3: Cross multiply
    1,070.74x = 1,606.14 × 523.36
  4. Step 4: Simplify right side
    1,070.74x = 840,589.43
  5. Step 5: Solve for x
    x = 840,589.43/1,070.74
  6. Step 6: Final answer
    x = 785.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.