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Finding the Fourth Proportional to 1,048.82, 1,447.08 and 675.84

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Solution

The fourth proportional to 1,048.82, 1,447.08 and 675.84 is: 932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.82 : 1,447.08 = 675.84 : x
  2. Step 2: Convert to fraction form
    1,048.82/1,447.08 = 675.84/x
  3. Step 3: Cross multiply
    1,048.82x = 1,447.08 × 675.84
  4. Step 4: Simplify right side
    1,048.82x = 977,994.55
  5. Step 5: Solve for x
    x = 977,994.55/1,048.82
  6. Step 6: Final answer
    x = 932.47

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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.