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Finding the Fourth Proportional to 594.64, 889.62 and 525.38

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Solution

The fourth proportional to 594.64, 889.62 and 525.38 is: 786.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.64 : 889.62 = 525.38 : x
  2. Step 2: Convert to fraction form
    594.64/889.62 = 525.38/x
  3. Step 3: Cross multiply
    594.64x = 889.62 × 525.38
  4. Step 4: Simplify right side
    594.64x = 467,388.56
  5. Step 5: Solve for x
    x = 467,388.56/594.64
  6. Step 6: Final answer
    x = 786.01

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