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Finding the Fourth Proportional to 1,574.85, 2,362.29 and 601.05

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Solution

The fourth proportional to 1,574.85, 2,362.29 and 601.05 is: 901.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.85 : 2,362.29 = 601.05 : x
  2. Step 2: Convert to fraction form
    1,574.85/2,362.29 = 601.05/x
  3. Step 3: Cross multiply
    1,574.85x = 2,362.29 × 601.05
  4. Step 4: Simplify right side
    1,574.85x = 1,419,854.40
  5. Step 5: Solve for x
    x = 1,419,854.40/1,574.85
  6. Step 6: Final answer
    x = 901.58

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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.