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Finding the Fourth Proportional to 597.85, 889.72 and 575.98

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Solution

The fourth proportional to 597.85, 889.72 and 575.98 is: 857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.85 : 889.72 = 575.98 : x
  2. Step 2: Convert to fraction form
    597.85/889.72 = 575.98/x
  3. Step 3: Cross multiply
    597.85x = 889.72 × 575.98
  4. Step 4: Simplify right side
    597.85x = 512,460.93
  5. Step 5: Solve for x
    x = 512,460.93/597.85
  6. Step 6: Final answer
    x = 857.17

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