Home / 1,154.16-1,733.00-922.37

Finding the Fourth Proportional to 1,154.16, 1,733.00 and 922.37

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Solution

The fourth proportional to 1,154.16, 1,733.00 and 922.37 is: 1,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.16 : 1,733.00 = 922.37 : x
  2. Step 2: Convert to fraction form
    1,154.16/1,733.00 = 922.37/x
  3. Step 3: Cross multiply
    1,154.16x = 1,733.00 × 922.37
  4. Step 4: Simplify right side
    1,154.16x = 1,598,453.93
  5. Step 5: Solve for x
    x = 1,598,453.93/1,154.16
  6. Step 6: Final answer
    x = 1,384.95

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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.