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Finding the Fourth Proportional to 1,441.04, 1,988.60 and 820

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Solution

The fourth proportional to 1,441.04, 1,988.60 and 820 is: 1,131.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.04 : 1,988.60 = 820 : x
  2. Step 2: Convert to fraction form
    1,441.04/1,988.60 = 820/x
  3. Step 3: Cross multiply
    1,441.04x = 1,988.60 × 820
  4. Step 4: Simplify right side
    1,441.04x = 1,630,652
  5. Step 5: Solve for x
    x = 1,630,652/1,441.04
  6. Step 6: Final answer
    x = 1,131.58

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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.