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Finding the Fourth Proportional to 1,303.30, 1,955.41 and 523.27

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Solution

The fourth proportional to 1,303.30, 1,955.41 and 523.27 is: 785.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.30 : 1,955.41 = 523.27 : x
  2. Step 2: Convert to fraction form
    1,303.30/1,955.41 = 523.27/x
  3. Step 3: Cross multiply
    1,303.30x = 1,955.41 × 523.27
  4. Step 4: Simplify right side
    1,303.30x = 1,023,208.53
  5. Step 5: Solve for x
    x = 1,023,208.53/1,303.30
  6. Step 6: Final answer
    x = 785.09

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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.