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Finding the Fourth Proportional to 1,047.23, 1,570.26 and 431.37

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Solution

The fourth proportional to 1,047.23, 1,570.26 and 431.37 is: 646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.23 : 1,570.26 = 431.37 : x
  2. Step 2: Convert to fraction form
    1,047.23/1,570.26 = 431.37/x
  3. Step 3: Cross multiply
    1,047.23x = 1,570.26 × 431.37
  4. Step 4: Simplify right side
    1,047.23x = 677,355.20
  5. Step 5: Solve for x
    x = 677,355.20/1,047.23
  6. Step 6: Final answer
    x = 646.81

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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.