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Finding the Fourth Proportional to 1,022.95, 1,525.79 and 992.20

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Solution

The fourth proportional to 1,022.95, 1,525.79 and 992.20 is: 1,479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.95 : 1,525.79 = 992.20 : x
  2. Step 2: Convert to fraction form
    1,022.95/1,525.79 = 992.20/x
  3. Step 3: Cross multiply
    1,022.95x = 1,525.79 × 992.20
  4. Step 4: Simplify right side
    1,022.95x = 1,513,888.84
  5. Step 5: Solve for x
    x = 1,513,888.84/1,022.95
  6. Step 6: Final answer
    x = 1,479.92

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Why These Related Problems?

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