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Finding the Fourth Proportional to 1,147.08, 1,580.37 and 862.23

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Solution

The fourth proportional to 1,147.08, 1,580.37 and 862.23 is: 1,187.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.08 : 1,580.37 = 862.23 : x
  2. Step 2: Convert to fraction form
    1,147.08/1,580.37 = 862.23/x
  3. Step 3: Cross multiply
    1,147.08x = 1,580.37 × 862.23
  4. Step 4: Simplify right side
    1,147.08x = 1,362,642.43
  5. Step 5: Solve for x
    x = 1,362,642.43/1,147.08
  6. Step 6: Final answer
    x = 1,187.92

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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.