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Finding the Fourth Proportional to 1,488.54, 2,054.19 and 825.40

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Solution

The fourth proportional to 1,488.54, 2,054.19 and 825.40 is: 1,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.54 : 2,054.19 = 825.40 : x
  2. Step 2: Convert to fraction form
    1,488.54/2,054.19 = 825.40/x
  3. Step 3: Cross multiply
    1,488.54x = 2,054.19 × 825.40
  4. Step 4: Simplify right side
    1,488.54x = 1,695,528.43
  5. Step 5: Solve for x
    x = 1,695,528.43/1,488.54
  6. Step 6: Final answer
    x = 1,139.05

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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.