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Finding the Fourth Proportional to 1,062.33, 1,594.23 and 716.31

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Solution

The fourth proportional to 1,062.33, 1,594.23 and 716.31 is: 1,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.33 : 1,594.23 = 716.31 : x
  2. Step 2: Convert to fraction form
    1,062.33/1,594.23 = 716.31/x
  3. Step 3: Cross multiply
    1,062.33x = 1,594.23 × 716.31
  4. Step 4: Simplify right side
    1,062.33x = 1,141,962.89
  5. Step 5: Solve for x
    x = 1,141,962.89/1,062.33
  6. Step 6: Final answer
    x = 1,074.96

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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.