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Finding the Fourth Proportional to 1,065.69, 1,587.87 and 950.67

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Solution

The fourth proportional to 1,065.69, 1,587.87 and 950.67 is: 1,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.69 : 1,587.87 = 950.67 : x
  2. Step 2: Convert to fraction form
    1,065.69/1,587.87 = 950.67/x
  3. Step 3: Cross multiply
    1,065.69x = 1,587.87 × 950.67
  4. Step 4: Simplify right side
    1,065.69x = 1,509,540.37
  5. Step 5: Solve for x
    x = 1,509,540.37/1,065.69
  6. Step 6: Final answer
    x = 1,416.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.