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Finding the Fourth Proportional to 1,304.25, 1,956.69 and 534.75

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Solution

The fourth proportional to 1,304.25, 1,956.69 and 534.75 is: 802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.25 : 1,956.69 = 534.75 : x
  2. Step 2: Convert to fraction form
    1,304.25/1,956.69 = 534.75/x
  3. Step 3: Cross multiply
    1,304.25x = 1,956.69 × 534.75
  4. Step 4: Simplify right side
    1,304.25x = 1,046,339.98
  5. Step 5: Solve for x
    x = 1,046,339.98/1,304.25
  6. Step 6: Final answer
    x = 802.25

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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.