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Finding the Fourth Proportional to 1,020.06, 1,406.45 and 862.41

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Solution

The fourth proportional to 1,020.06, 1,406.45 and 862.41 is: 1,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.06 : 1,406.45 = 862.41 : x
  2. Step 2: Convert to fraction form
    1,020.06/1,406.45 = 862.41/x
  3. Step 3: Cross multiply
    1,020.06x = 1,406.45 × 862.41
  4. Step 4: Simplify right side
    1,020.06x = 1,212,932.23
  5. Step 5: Solve for x
    x = 1,212,932.23/1,020.06
  6. Step 6: Final answer
    x = 1,189.08

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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.