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Finding the Fourth Proportional to 1,304.51, 1,956.31 and 524.31

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Solution

The fourth proportional to 1,304.51, 1,956.31 and 524.31 is: 786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.51 : 1,956.31 = 524.31 : x
  2. Step 2: Convert to fraction form
    1,304.51/1,956.31 = 524.31/x
  3. Step 3: Cross multiply
    1,304.51x = 1,956.31 × 524.31
  4. Step 4: Simplify right side
    1,304.51x = 1,025,716.19
  5. Step 5: Solve for x
    x = 1,025,716.19/1,304.51
  6. Step 6: Final answer
    x = 786.29

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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.