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Finding the Fourth Proportional to 1,574.38, 2,361.84 and 708.76

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Solution

The fourth proportional to 1,574.38, 2,361.84 and 708.76 is: 1,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.38 : 2,361.84 = 708.76 : x
  2. Step 2: Convert to fraction form
    1,574.38/2,361.84 = 708.76/x
  3. Step 3: Cross multiply
    1,574.38x = 2,361.84 × 708.76
  4. Step 4: Simplify right side
    1,574.38x = 1,673,977.72
  5. Step 5: Solve for x
    x = 1,673,977.72/1,574.38
  6. Step 6: Final answer
    x = 1,063.26

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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.