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Finding the Fourth Proportional to 593.88, 894.12 and 514.50

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Solution

The fourth proportional to 593.88, 894.12 and 514.50 is: 774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.88 : 894.12 = 514.50 : x
  2. Step 2: Convert to fraction form
    593.88/894.12 = 514.50/x
  3. Step 3: Cross multiply
    593.88x = 894.12 × 514.50
  4. Step 4: Simplify right side
    593.88x = 460,024.74
  5. Step 5: Solve for x
    x = 460,024.74/593.88
  6. Step 6: Final answer
    x = 774.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.