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Finding the Fourth Proportional to 1,022.36, 1,525.80 and 923.95

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Solution

The fourth proportional to 1,022.36, 1,525.80 and 923.95 is: 1,378.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.36 : 1,525.80 = 923.95 : x
  2. Step 2: Convert to fraction form
    1,022.36/1,525.80 = 923.95/x
  3. Step 3: Cross multiply
    1,022.36x = 1,525.80 × 923.95
  4. Step 4: Simplify right side
    1,022.36x = 1,409,762.91
  5. Step 5: Solve for x
    x = 1,409,762.91/1,022.36
  6. Step 6: Final answer
    x = 1,378.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.