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Finding the Fourth Proportional to 1,713.81, 2,570.72 and 415.28

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Solution

The fourth proportional to 1,713.81, 2,570.72 and 415.28 is: 622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.81 : 2,570.72 = 415.28 : x
  2. Step 2: Convert to fraction form
    1,713.81/2,570.72 = 415.28/x
  3. Step 3: Cross multiply
    1,713.81x = 2,570.72 × 415.28
  4. Step 4: Simplify right side
    1,713.81x = 1,067,574.51
  5. Step 5: Solve for x
    x = 1,067,574.51/1,713.81
  6. Step 6: Final answer
    x = 622.92

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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.