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Finding the Fourth Proportional to 1,050.42, 1,449.65 and 584.67

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Solution

The fourth proportional to 1,050.42, 1,449.65 and 584.67 is: 806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.42 : 1,449.65 = 584.67 : x
  2. Step 2: Convert to fraction form
    1,050.42/1,449.65 = 584.67/x
  3. Step 3: Cross multiply
    1,050.42x = 1,449.65 × 584.67
  4. Step 4: Simplify right side
    1,050.42x = 847,566.87
  5. Step 5: Solve for x
    x = 847,566.87/1,050.42
  6. Step 6: Final answer
    x = 806.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.