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Finding the Fourth Proportional to 962.88, 1,444.86 and 552.84

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Solution

The fourth proportional to 962.88, 1,444.86 and 552.84 is: 829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.88 : 1,444.86 = 552.84 : x
  2. Step 2: Convert to fraction form
    962.88/1,444.86 = 552.84/x
  3. Step 3: Cross multiply
    962.88x = 1,444.86 × 552.84
  4. Step 4: Simplify right side
    962.88x = 798,776.40
  5. Step 5: Solve for x
    x = 798,776.40/962.88
  6. Step 6: Final answer
    x = 829.57

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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.