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Finding the Fourth Proportional to 1,071.32, 1,605.80 and 550.60

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Solution

The fourth proportional to 1,071.32, 1,605.80 and 550.60 is: 825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.32 : 1,605.80 = 550.60 : x
  2. Step 2: Convert to fraction form
    1,071.32/1,605.80 = 550.60/x
  3. Step 3: Cross multiply
    1,071.32x = 1,605.80 × 550.60
  4. Step 4: Simplify right side
    1,071.32x = 884,150.84
  5. Step 5: Solve for x
    x = 884,150.84/1,071.32
  6. Step 6: Final answer
    x = 825.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.