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Finding the Fourth Proportional to 1,574.80, 2,362.21 and 601.13

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Solution

The fourth proportional to 1,574.80, 2,362.21 and 601.13 is: 901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.80 : 2,362.21 = 601.13 : x
  2. Step 2: Convert to fraction form
    1,574.80/2,362.21 = 601.13/x
  3. Step 3: Cross multiply
    1,574.80x = 2,362.21 × 601.13
  4. Step 4: Simplify right side
    1,574.80x = 1,419,995.30
  5. Step 5: Solve for x
    x = 1,419,995.30/1,574.80
  6. Step 6: Final answer
    x = 901.70

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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.