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Finding the Fourth Proportional to 596.89, 821.25 and 583.06

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Solution

The fourth proportional to 596.89, 821.25 and 583.06 is: 802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.89 : 821.25 = 583.06 : x
  2. Step 2: Convert to fraction form
    596.89/821.25 = 583.06/x
  3. Step 3: Cross multiply
    596.89x = 821.25 × 583.06
  4. Step 4: Simplify right side
    596.89x = 478,838.03
  5. Step 5: Solve for x
    x = 478,838.03/596.89
  6. Step 6: Final answer
    x = 802.22

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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.