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Finding the Fourth Proportional to 1,064.52, 1,594.89 and 739.26

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Solution

The fourth proportional to 1,064.52, 1,594.89 and 739.26 is: 1,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.52 : 1,594.89 = 739.26 : x
  2. Step 2: Convert to fraction form
    1,064.52/1,594.89 = 739.26/x
  3. Step 3: Cross multiply
    1,064.52x = 1,594.89 × 739.26
  4. Step 4: Simplify right side
    1,064.52x = 1,179,038.38
  5. Step 5: Solve for x
    x = 1,179,038.38/1,064.52
  6. Step 6: Final answer
    x = 1,107.58

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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.