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Finding the Fourth Proportional to 1,713.36, 2,570.04 and 414.83

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Solution

The fourth proportional to 1,713.36, 2,570.04 and 414.83 is: 622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.36 : 2,570.04 = 414.83 : x
  2. Step 2: Convert to fraction form
    1,713.36/2,570.04 = 414.83/x
  3. Step 3: Cross multiply
    1,713.36x = 2,570.04 × 414.83
  4. Step 4: Simplify right side
    1,713.36x = 1,066,116.84
  5. Step 5: Solve for x
    x = 1,066,116.84/1,713.36
  6. Step 6: Final answer
    x = 622.24

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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.