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Finding the Fourth Proportional to 1,506.08, 2,078.39 and 842.93

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Solution

The fourth proportional to 1,506.08, 2,078.39 and 842.93 is: 1,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.08 : 2,078.39 = 842.93 : x
  2. Step 2: Convert to fraction form
    1,506.08/2,078.39 = 842.93/x
  3. Step 3: Cross multiply
    1,506.08x = 2,078.39 × 842.93
  4. Step 4: Simplify right side
    1,506.08x = 1,751,931.10
  5. Step 5: Solve for x
    x = 1,751,931.10/1,506.08
  6. Step 6: Final answer
    x = 1,163.24

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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.