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Finding the Fourth Proportional to 952.39, 1,316.01 and 743.10

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Solution

The fourth proportional to 952.39, 1,316.01 and 743.10 is: 1,026.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.39 : 1,316.01 = 743.10 : x
  2. Step 2: Convert to fraction form
    952.39/1,316.01 = 743.10/x
  3. Step 3: Cross multiply
    952.39x = 1,316.01 × 743.10
  4. Step 4: Simplify right side
    952.39x = 977,927.03
  5. Step 5: Solve for x
    x = 977,927.03/952.39
  6. Step 6: Final answer
    x = 1,026.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.