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Finding the Fourth Proportional to 1,291.32, 1,782.90 and 992.04

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Solution

The fourth proportional to 1,291.32, 1,782.90 and 992.04 is: 1,369.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.32 : 1,782.90 = 992.04 : x
  2. Step 2: Convert to fraction form
    1,291.32/1,782.90 = 992.04/x
  3. Step 3: Cross multiply
    1,291.32x = 1,782.90 × 992.04
  4. Step 4: Simplify right side
    1,291.32x = 1,768,708.12
  5. Step 5: Solve for x
    x = 1,768,708.12/1,291.32
  6. Step 6: Final answer
    x = 1,369.69

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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.