Home / 1,004.08-1,384.92-921.46

Finding the Fourth Proportional to 1,004.08, 1,384.92 and 921.46

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Solution

The fourth proportional to 1,004.08, 1,384.92 and 921.46 is: 1,270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.08 : 1,384.92 = 921.46 : x
  2. Step 2: Convert to fraction form
    1,004.08/1,384.92 = 921.46/x
  3. Step 3: Cross multiply
    1,004.08x = 1,384.92 × 921.46
  4. Step 4: Simplify right side
    1,004.08x = 1,276,148.38
  5. Step 5: Solve for x
    x = 1,276,148.38/1,004.08
  6. Step 6: Final answer
    x = 1,270.96

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Why These Related Problems?

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