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Finding the Fourth Proportional to 962.33, 1,444.17 and 597.37

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Solution

The fourth proportional to 962.33, 1,444.17 and 597.37 is: 896.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.33 : 1,444.17 = 597.37 : x
  2. Step 2: Convert to fraction form
    962.33/1,444.17 = 597.37/x
  3. Step 3: Cross multiply
    962.33x = 1,444.17 × 597.37
  4. Step 4: Simplify right side
    962.33x = 862,703.83
  5. Step 5: Solve for x
    x = 862,703.83/962.33
  6. Step 6: Final answer
    x = 896.48

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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.