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Finding the Fourth Proportional to 1,033.58, 1,550.87 and 513.62

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Solution

The fourth proportional to 1,033.58, 1,550.87 and 513.62 is: 770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.58 : 1,550.87 = 513.62 : x
  2. Step 2: Convert to fraction form
    1,033.58/1,550.87 = 513.62/x
  3. Step 3: Cross multiply
    1,033.58x = 1,550.87 × 513.62
  4. Step 4: Simplify right side
    1,033.58x = 796,547.53
  5. Step 5: Solve for x
    x = 796,547.53/1,033.58
  6. Step 6: Final answer
    x = 770.67

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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.