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Finding the Fourth Proportional to 1,574.72, 2,361.48 and 697.24

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Solution

The fourth proportional to 1,574.72, 2,361.48 and 697.24 is: 1,045.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.72 : 2,361.48 = 697.24 : x
  2. Step 2: Convert to fraction form
    1,574.72/2,361.48 = 697.24/x
  3. Step 3: Cross multiply
    1,574.72x = 2,361.48 × 697.24
  4. Step 4: Simplify right side
    1,574.72x = 1,646,518.32
  5. Step 5: Solve for x
    x = 1,646,518.32/1,574.72
  6. Step 6: Final answer
    x = 1,045.59

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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.