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Finding the Fourth Proportional to 1,084.51, 1,496.26 and 612.35

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Solution

The fourth proportional to 1,084.51, 1,496.26 and 612.35 is: 844.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.51 : 1,496.26 = 612.35 : x
  2. Step 2: Convert to fraction form
    1,084.51/1,496.26 = 612.35/x
  3. Step 3: Cross multiply
    1,084.51x = 1,496.26 × 612.35
  4. Step 4: Simplify right side
    1,084.51x = 916,234.81
  5. Step 5: Solve for x
    x = 916,234.81/1,084.51
  6. Step 6: Final answer
    x = 844.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.