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Finding the Fourth Proportional to 722.52, 1,084.14 and 283.77

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Solution

The fourth proportional to 722.52, 1,084.14 and 283.77 is: 425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.52 : 1,084.14 = 283.77 : x
  2. Step 2: Convert to fraction form
    722.52/1,084.14 = 283.77/x
  3. Step 3: Cross multiply
    722.52x = 1,084.14 × 283.77
  4. Step 4: Simplify right side
    722.52x = 307,646.41
  5. Step 5: Solve for x
    x = 307,646.41/722.52
  6. Step 6: Final answer
    x = 425.80

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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.