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Finding the Fourth Proportional to 1,148.82, 1,585.73 and 734.82

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Solution

The fourth proportional to 1,148.82, 1,585.73 and 734.82 is: 1,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.82 : 1,585.73 = 734.82 : x
  2. Step 2: Convert to fraction form
    1,148.82/1,585.73 = 734.82/x
  3. Step 3: Cross multiply
    1,148.82x = 1,585.73 × 734.82
  4. Step 4: Simplify right side
    1,148.82x = 1,165,222.44
  5. Step 5: Solve for x
    x = 1,165,222.44/1,148.82
  6. Step 6: Final answer
    x = 1,014.28

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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.