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Finding the Fourth Proportional to 1,307.53, 1,958.60 and 1,047.97

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Solution

The fourth proportional to 1,307.53, 1,958.60 and 1,047.97 is: 1,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.53 : 1,958.60 = 1,047.97 : x
  2. Step 2: Convert to fraction form
    1,307.53/1,958.60 = 1,047.97/x
  3. Step 3: Cross multiply
    1,307.53x = 1,958.60 × 1,047.97
  4. Step 4: Simplify right side
    1,307.53x = 2,052,548.80
  5. Step 5: Solve for x
    x = 2,052,548.80/1,307.53
  6. Step 6: Final answer
    x = 1,569.79

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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.