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Finding the Fourth Proportional to 1,059.48, 1,586.38 and 693.36

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Solution

The fourth proportional to 1,059.48, 1,586.38 and 693.36 is: 1,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.48 : 1,586.38 = 693.36 : x
  2. Step 2: Convert to fraction form
    1,059.48/1,586.38 = 693.36/x
  3. Step 3: Cross multiply
    1,059.48x = 1,586.38 × 693.36
  4. Step 4: Simplify right side
    1,059.48x = 1,099,932.44
  5. Step 5: Solve for x
    x = 1,099,932.44/1,059.48
  6. Step 6: Final answer
    x = 1,038.18

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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.