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Finding the Fourth Proportional to 1,488.84, 2,054.56 and 825.66

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Solution

The fourth proportional to 1,488.84, 2,054.56 and 825.66 is: 1,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.84 : 2,054.56 = 825.66 : x
  2. Step 2: Convert to fraction form
    1,488.84/2,054.56 = 825.66/x
  3. Step 3: Cross multiply
    1,488.84x = 2,054.56 × 825.66
  4. Step 4: Simplify right side
    1,488.84x = 1,696,368.01
  5. Step 5: Solve for x
    x = 1,696,368.01/1,488.84
  6. Step 6: Final answer
    x = 1,139.39

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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.