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Finding the Fourth Proportional to 596.74, 889.26 and 577.17

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Solution

The fourth proportional to 596.74, 889.26 and 577.17 is: 860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.74 : 889.26 = 577.17 : x
  2. Step 2: Convert to fraction form
    596.74/889.26 = 577.17/x
  3. Step 3: Cross multiply
    596.74x = 889.26 × 577.17
  4. Step 4: Simplify right side
    596.74x = 513,254.19
  5. Step 5: Solve for x
    x = 513,254.19/596.74
  6. Step 6: Final answer
    x = 860.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.