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Finding the Fourth Proportional to 1,574.12, 2,361.60 and 534.20

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Solution

The fourth proportional to 1,574.12, 2,361.60 and 534.20 is: 801.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.12 : 2,361.60 = 534.20 : x
  2. Step 2: Convert to fraction form
    1,574.12/2,361.60 = 534.20/x
  3. Step 3: Cross multiply
    1,574.12x = 2,361.60 × 534.20
  4. Step 4: Simplify right side
    1,574.12x = 1,261,566.72
  5. Step 5: Solve for x
    x = 1,261,566.72/1,574.12
  6. Step 6: Final answer
    x = 801.44

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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.