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Finding the Fourth Proportional to 1,095.37, 1,511.62 and 598.02

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Solution

The fourth proportional to 1,095.37, 1,511.62 and 598.02 is: 825.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.37 : 1,511.62 = 598.02 : x
  2. Step 2: Convert to fraction form
    1,095.37/1,511.62 = 598.02/x
  3. Step 3: Cross multiply
    1,095.37x = 1,511.62 × 598.02
  4. Step 4: Simplify right side
    1,095.37x = 903,978.99
  5. Step 5: Solve for x
    x = 903,978.99/1,095.37
  6. Step 6: Final answer
    x = 825.27

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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.