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Finding the Fourth Proportional to 1,305.53, 1,957.58 and 601.97

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Solution

The fourth proportional to 1,305.53, 1,957.58 and 601.97 is: 902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.53 : 1,957.58 = 601.97 : x
  2. Step 2: Convert to fraction form
    1,305.53/1,957.58 = 601.97/x
  3. Step 3: Cross multiply
    1,305.53x = 1,957.58 × 601.97
  4. Step 4: Simplify right side
    1,305.53x = 1,178,401.42
  5. Step 5: Solve for x
    x = 1,178,401.42/1,305.53
  6. Step 6: Final answer
    x = 902.63

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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.