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Finding the Fourth Proportional to 722.58, 1,083.94 and 435.84

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Solution

The fourth proportional to 722.58, 1,083.94 and 435.84 is: 653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.58 : 1,083.94 = 435.84 : x
  2. Step 2: Convert to fraction form
    722.58/1,083.94 = 435.84/x
  3. Step 3: Cross multiply
    722.58x = 1,083.94 × 435.84
  4. Step 4: Simplify right side
    722.58x = 472,424.41
  5. Step 5: Solve for x
    x = 472,424.41/722.58
  6. Step 6: Final answer
    x = 653.80

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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.