Home / 1,004.16-1,384.20-741.72

Finding the Fourth Proportional to 1,004.16, 1,384.20 and 741.72

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Solution

The fourth proportional to 1,004.16, 1,384.20 and 741.72 is: 1,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.16 : 1,384.20 = 741.72 : x
  2. Step 2: Convert to fraction form
    1,004.16/1,384.20 = 741.72/x
  3. Step 3: Cross multiply
    1,004.16x = 1,384.20 × 741.72
  4. Step 4: Simplify right side
    1,004.16x = 1,026,688.82
  5. Step 5: Solve for x
    x = 1,026,688.82/1,004.16
  6. Step 6: Final answer
    x = 1,022.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.