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Finding the Fourth Proportional to 962.51, 1,328.36 and 543.02

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Solution

The fourth proportional to 962.51, 1,328.36 and 543.02 is: 749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.51 : 1,328.36 = 543.02 : x
  2. Step 2: Convert to fraction form
    962.51/1,328.36 = 543.02/x
  3. Step 3: Cross multiply
    962.51x = 1,328.36 × 543.02
  4. Step 4: Simplify right side
    962.51x = 721,316.69
  5. Step 5: Solve for x
    x = 721,316.69/962.51
  6. Step 6: Final answer
    x = 749.42

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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.