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Finding the Fourth Proportional to 915.85, 1,262.86 and 583.75

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Solution

The fourth proportional to 915.85, 1,262.86 and 583.75 is: 804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.85 : 1,262.86 = 583.75 : x
  2. Step 2: Convert to fraction form
    915.85/1,262.86 = 583.75/x
  3. Step 3: Cross multiply
    915.85x = 1,262.86 × 583.75
  4. Step 4: Simplify right side
    915.85x = 737,194.53
  5. Step 5: Solve for x
    x = 737,194.53/915.85
  6. Step 6: Final answer
    x = 804.93

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