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Finding the Fourth Proportional to 694.36, 1,036.45 and 612.34

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Solution

The fourth proportional to 694.36, 1,036.45 and 612.34 is: 914.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.36 : 1,036.45 = 612.34 : x
  2. Step 2: Convert to fraction form
    694.36/1,036.45 = 612.34/x
  3. Step 3: Cross multiply
    694.36x = 1,036.45 × 612.34
  4. Step 4: Simplify right side
    694.36x = 634,659.79
  5. Step 5: Solve for x
    x = 634,659.79/694.36
  6. Step 6: Final answer
    x = 914.02

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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.