Home / 1,309.23-1,964.09-384.79

Finding the Fourth Proportional to 1,309.23, 1,964.09 and 384.79

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Solution

The fourth proportional to 1,309.23, 1,964.09 and 384.79 is: 577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.23 : 1,964.09 = 384.79 : x
  2. Step 2: Convert to fraction form
    1,309.23/1,964.09 = 384.79/x
  3. Step 3: Cross multiply
    1,309.23x = 1,964.09 × 384.79
  4. Step 4: Simplify right side
    1,309.23x = 755,762.19
  5. Step 5: Solve for x
    x = 755,762.19/1,309.23
  6. Step 6: Final answer
    x = 577.26

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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.