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Finding the Fourth Proportional to 1,574.54, 2,361.77 and 534.53

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Solution

The fourth proportional to 1,574.54, 2,361.77 and 534.53 is: 801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.54 : 2,361.77 = 534.53 : x
  2. Step 2: Convert to fraction form
    1,574.54/2,361.77 = 534.53/x
  3. Step 3: Cross multiply
    1,574.54x = 2,361.77 × 534.53
  4. Step 4: Simplify right side
    1,574.54x = 1,262,422.44
  5. Step 5: Solve for x
    x = 1,262,422.44/1,574.54
  6. Step 6: Final answer
    x = 801.77

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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.