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Finding the Fourth Proportional to 1,095.67, 1,512 and 598.30

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Solution

The fourth proportional to 1,095.67, 1,512 and 598.30 is: 825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.67 : 1,512 = 598.30 : x
  2. Step 2: Convert to fraction form
    1,095.67/1,512 = 598.30/x
  3. Step 3: Cross multiply
    1,095.67x = 1,512 × 598.30
  4. Step 4: Simplify right side
    1,095.67x = 904,629.60
  5. Step 5: Solve for x
    x = 904,629.60/1,095.67
  6. Step 6: Final answer
    x = 825.64

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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.