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Finding the Fourth Proportional to 598.93, 897.62 and 583.55

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Solution

The fourth proportional to 598.93, 897.62 and 583.55 is: 874.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.93 : 897.62 = 583.55 : x
  2. Step 2: Convert to fraction form
    598.93/897.62 = 583.55/x
  3. Step 3: Cross multiply
    598.93x = 897.62 × 583.55
  4. Step 4: Simplify right side
    598.93x = 523,809.85
  5. Step 5: Solve for x
    x = 523,809.85/598.93
  6. Step 6: Final answer
    x = 874.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.