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Finding the Fourth Proportional to 1,574.75, 2,361.63 and 478.78

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Solution

The fourth proportional to 1,574.75, 2,361.63 and 478.78 is: 718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.75 : 2,361.63 = 478.78 : x
  2. Step 2: Convert to fraction form
    1,574.75/2,361.63 = 478.78/x
  3. Step 3: Cross multiply
    1,574.75x = 2,361.63 × 478.78
  4. Step 4: Simplify right side
    1,574.75x = 1,130,701.21
  5. Step 5: Solve for x
    x = 1,130,701.21/1,574.75
  6. Step 6: Final answer
    x = 718.02

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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.