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Finding the Fourth Proportional to 1,059.89, 1,586.52 and 670.28

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Solution

The fourth proportional to 1,059.89, 1,586.52 and 670.28 is: 1,003.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.89 : 1,586.52 = 670.28 : x
  2. Step 2: Convert to fraction form
    1,059.89/1,586.52 = 670.28/x
  3. Step 3: Cross multiply
    1,059.89x = 1,586.52 × 670.28
  4. Step 4: Simplify right side
    1,059.89x = 1,063,404.69
  5. Step 5: Solve for x
    x = 1,063,404.69/1,059.89
  6. Step 6: Final answer
    x = 1,003.32

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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.