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Finding the Fourth Proportional to 612.99, 914.46 and 596.25

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Solution

The fourth proportional to 612.99, 914.46 and 596.25 is: 889.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.99 : 914.46 = 596.25 : x
  2. Step 2: Convert to fraction form
    612.99/914.46 = 596.25/x
  3. Step 3: Cross multiply
    612.99x = 914.46 × 596.25
  4. Step 4: Simplify right side
    612.99x = 545,246.78
  5. Step 5: Solve for x
    x = 545,246.78/612.99
  6. Step 6: Final answer
    x = 889.49

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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.