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Finding the Fourth Proportional to 1,304.02, 1,956.03 and 654.76

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Solution

The fourth proportional to 1,304.02, 1,956.03 and 654.76 is: 982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.02 : 1,956.03 = 654.76 : x
  2. Step 2: Convert to fraction form
    1,304.02/1,956.03 = 654.76/x
  3. Step 3: Cross multiply
    1,304.02x = 1,956.03 × 654.76
  4. Step 4: Simplify right side
    1,304.02x = 1,280,730.20
  5. Step 5: Solve for x
    x = 1,280,730.20/1,304.02
  6. Step 6: Final answer
    x = 982.14

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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.