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Finding the Fourth Proportional to 592.25, 821.03 and 561.02

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Solution

The fourth proportional to 592.25, 821.03 and 561.02 is: 777.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.25 : 821.03 = 561.02 : x
  2. Step 2: Convert to fraction form
    592.25/821.03 = 561.02/x
  3. Step 3: Cross multiply
    592.25x = 821.03 × 561.02
  4. Step 4: Simplify right side
    592.25x = 460,607.34
  5. Step 5: Solve for x
    x = 460,607.34/592.25
  6. Step 6: Final answer
    x = 777.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.