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Finding the Fourth Proportional to 1,303.97, 1,955.56 and 523.72

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Solution

The fourth proportional to 1,303.97, 1,955.56 and 523.72 is: 785.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.97 : 1,955.56 = 523.72 : x
  2. Step 2: Convert to fraction form
    1,303.97/1,955.56 = 523.72/x
  3. Step 3: Cross multiply
    1,303.97x = 1,955.56 × 523.72
  4. Step 4: Simplify right side
    1,303.97x = 1,024,157.00
  5. Step 5: Solve for x
    x = 1,024,157.00/1,303.97
  6. Step 6: Final answer
    x = 785.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.