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Finding the Fourth Proportional to 1,303.58, 1,955.33 and 523.34

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Solution

The fourth proportional to 1,303.58, 1,955.33 and 523.34 is: 784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.58 : 1,955.33 = 523.34 : x
  2. Step 2: Convert to fraction form
    1,303.58/1,955.33 = 523.34/x
  3. Step 3: Cross multiply
    1,303.58x = 1,955.33 × 523.34
  4. Step 4: Simplify right side
    1,303.58x = 1,023,290.01
  5. Step 5: Solve for x
    x = 1,023,290.01/1,303.58
  6. Step 6: Final answer
    x = 784.99

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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.