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Finding the Fourth Proportional to 1,488.51, 2,054.23 and 825.39

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Solution

The fourth proportional to 1,488.51, 2,054.23 and 825.39 is: 1,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.51 : 2,054.23 = 825.39 : x
  2. Step 2: Convert to fraction form
    1,488.51/2,054.23 = 825.39/x
  3. Step 3: Cross multiply
    1,488.51x = 2,054.23 × 825.39
  4. Step 4: Simplify right side
    1,488.51x = 1,695,538.84
  5. Step 5: Solve for x
    x = 1,695,538.84/1,488.51
  6. Step 6: Final answer
    x = 1,139.08

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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.