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Finding the Fourth Proportional to 1,574.43, 2,361.64 and 478.80

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Solution

The fourth proportional to 1,574.43, 2,361.64 and 478.80 is: 718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.43 : 2,361.64 = 478.80 : x
  2. Step 2: Convert to fraction form
    1,574.43/2,361.64 = 478.80/x
  3. Step 3: Cross multiply
    1,574.43x = 2,361.64 × 478.80
  4. Step 4: Simplify right side
    1,574.43x = 1,130,753.23
  5. Step 5: Solve for x
    x = 1,130,753.23/1,574.43
  6. Step 6: Final answer
    x = 718.20

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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.