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Finding the Fourth Proportional to 1,083.84, 1,623.93 and 597.23

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Solution

The fourth proportional to 1,083.84, 1,623.93 and 597.23 is: 894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.84 : 1,623.93 = 597.23 : x
  2. Step 2: Convert to fraction form
    1,083.84/1,623.93 = 597.23/x
  3. Step 3: Cross multiply
    1,083.84x = 1,623.93 × 597.23
  4. Step 4: Simplify right side
    1,083.84x = 969,859.71
  5. Step 5: Solve for x
    x = 969,859.71/1,083.84
  6. Step 6: Final answer
    x = 894.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.