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Finding the Fourth Proportional to 1,304.94, 1,956.64 and 525.31

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Solution

The fourth proportional to 1,304.94, 1,956.64 and 525.31 is: 787.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.94 : 1,956.64 = 525.31 : x
  2. Step 2: Convert to fraction form
    1,304.94/1,956.64 = 525.31/x
  3. Step 3: Cross multiply
    1,304.94x = 1,956.64 × 525.31
  4. Step 4: Simplify right side
    1,304.94x = 1,027,842.56
  5. Step 5: Solve for x
    x = 1,027,842.56/1,304.94
  6. Step 6: Final answer
    x = 787.66

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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.