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Finding the Fourth Proportional to 1,574.22, 2,361.21 and 478.59

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Solution

The fourth proportional to 1,574.22, 2,361.21 and 478.59 is: 717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.22 : 2,361.21 = 478.59 : x
  2. Step 2: Convert to fraction form
    1,574.22/2,361.21 = 478.59/x
  3. Step 3: Cross multiply
    1,574.22x = 2,361.21 × 478.59
  4. Step 4: Simplify right side
    1,574.22x = 1,130,051.49
  5. Step 5: Solve for x
    x = 1,130,051.49/1,574.22
  6. Step 6: Final answer
    x = 717.85

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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.