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Finding the Fourth Proportional to 594.56, 889.74 and 521.24

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Solution

The fourth proportional to 594.56, 889.74 and 521.24 is: 780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.56 : 889.74 = 521.24 : x
  2. Step 2: Convert to fraction form
    594.56/889.74 = 521.24/x
  3. Step 3: Cross multiply
    594.56x = 889.74 × 521.24
  4. Step 4: Simplify right side
    594.56x = 463,768.08
  5. Step 5: Solve for x
    x = 463,768.08/594.56
  6. Step 6: Final answer
    x = 780.02

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Why These Related Problems?

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