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Finding the Fourth Proportional to 1,095.39, 1,511.60 and 598.04

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Solution

The fourth proportional to 1,095.39, 1,511.60 and 598.04 is: 825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.39 : 1,511.60 = 598.04 : x
  2. Step 2: Convert to fraction form
    1,095.39/1,511.60 = 598.04/x
  3. Step 3: Cross multiply
    1,095.39x = 1,511.60 × 598.04
  4. Step 4: Simplify right side
    1,095.39x = 903,986.72
  5. Step 5: Solve for x
    x = 903,986.72/1,095.39
  6. Step 6: Final answer
    x = 825.26

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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.