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Finding the Fourth Proportional to 1,039.55, 1,559.88 and 693.07

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Solution

The fourth proportional to 1,039.55, 1,559.88 and 693.07 is: 1,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.55 : 1,559.88 = 693.07 : x
  2. Step 2: Convert to fraction form
    1,039.55/1,559.88 = 693.07/x
  3. Step 3: Cross multiply
    1,039.55x = 1,559.88 × 693.07
  4. Step 4: Simplify right side
    1,039.55x = 1,081,099.53
  5. Step 5: Solve for x
    x = 1,081,099.53/1,039.55
  6. Step 6: Final answer
    x = 1,039.97

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Why These Related Problems?

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