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Finding the Fourth Proportional to 1,047.62, 1,571.31 and 430.94

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Solution

The fourth proportional to 1,047.62, 1,571.31 and 430.94 is: 646.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.62 : 1,571.31 = 430.94 : x
  2. Step 2: Convert to fraction form
    1,047.62/1,571.31 = 430.94/x
  3. Step 3: Cross multiply
    1,047.62x = 1,571.31 × 430.94
  4. Step 4: Simplify right side
    1,047.62x = 677,140.33
  5. Step 5: Solve for x
    x = 677,140.33/1,047.62
  6. Step 6: Final answer
    x = 646.36

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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.