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Finding the Fourth Proportional to 1,043.94, 1,566.02 and 394.67

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Solution

The fourth proportional to 1,043.94, 1,566.02 and 394.67 is: 592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.94 : 1,566.02 = 394.67 : x
  2. Step 2: Convert to fraction form
    1,043.94/1,566.02 = 394.67/x
  3. Step 3: Cross multiply
    1,043.94x = 1,566.02 × 394.67
  4. Step 4: Simplify right side
    1,043.94x = 618,063.80
  5. Step 5: Solve for x
    x = 618,063.80/1,043.94
  6. Step 6: Final answer
    x = 592.05

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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.