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Finding the Fourth Proportional to 1,095.32, 1,511.51 and 597.97

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Solution

The fourth proportional to 1,095.32, 1,511.51 and 597.97 is: 825.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.32 : 1,511.51 = 597.97 : x
  2. Step 2: Convert to fraction form
    1,095.32/1,511.51 = 597.97/x
  3. Step 3: Cross multiply
    1,095.32x = 1,511.51 × 597.97
  4. Step 4: Simplify right side
    1,095.32x = 903,837.63
  5. Step 5: Solve for x
    x = 903,837.63/1,095.32
  6. Step 6: Final answer
    x = 825.18

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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.