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Finding the Fourth Proportional to 653.98, 975.90 and 584.75

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Solution

The fourth proportional to 653.98, 975.90 and 584.75 is: 872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.98 : 975.90 = 584.75 : x
  2. Step 2: Convert to fraction form
    653.98/975.90 = 584.75/x
  3. Step 3: Cross multiply
    653.98x = 975.90 × 584.75
  4. Step 4: Simplify right side
    653.98x = 570,657.53
  5. Step 5: Solve for x
    x = 570,657.53/653.98
  6. Step 6: Final answer
    x = 872.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.