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Finding the Fourth Proportional to 1,047.96, 1,571.87 and 431.64

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Solution

The fourth proportional to 1,047.96, 1,571.87 and 431.64 is: 647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.96 : 1,571.87 = 431.64 : x
  2. Step 2: Convert to fraction form
    1,047.96/1,571.87 = 431.64/x
  3. Step 3: Cross multiply
    1,047.96x = 1,571.87 × 431.64
  4. Step 4: Simplify right side
    1,047.96x = 678,479.81
  5. Step 5: Solve for x
    x = 678,479.81/1,047.96
  6. Step 6: Final answer
    x = 647.43

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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.