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Finding the Fourth Proportional to 1,488.89, 2,054.68 and 825.75

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Solution

The fourth proportional to 1,488.89, 2,054.68 and 825.75 is: 1,139.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.89 : 2,054.68 = 825.75 : x
  2. Step 2: Convert to fraction form
    1,488.89/2,054.68 = 825.75/x
  3. Step 3: Cross multiply
    1,488.89x = 2,054.68 × 825.75
  4. Step 4: Simplify right side
    1,488.89x = 1,696,652.01
  5. Step 5: Solve for x
    x = 1,696,652.01/1,488.89
  6. Step 6: Final answer
    x = 1,139.54

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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.