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Finding the Fourth Proportional to 1,574.29, 2,359.41 and 650.49

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Solution

The fourth proportional to 1,574.29, 2,359.41 and 650.49 is: 974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.29 : 2,359.41 = 650.49 : x
  2. Step 2: Convert to fraction form
    1,574.29/2,359.41 = 650.49/x
  3. Step 3: Cross multiply
    1,574.29x = 2,359.41 × 650.49
  4. Step 4: Simplify right side
    1,574.29x = 1,534,769.36
  5. Step 5: Solve for x
    x = 1,534,769.36/1,574.29
  6. Step 6: Final answer
    x = 974.90

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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.