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Finding the Fourth Proportional to 975.92, 1,460.45 and 800.42

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Solution

The fourth proportional to 975.92, 1,460.45 and 800.42 is: 1,197.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.92 : 1,460.45 = 800.42 : x
  2. Step 2: Convert to fraction form
    975.92/1,460.45 = 800.42/x
  3. Step 3: Cross multiply
    975.92x = 1,460.45 × 800.42
  4. Step 4: Simplify right side
    975.92x = 1,168,968.09
  5. Step 5: Solve for x
    x = 1,168,968.09/975.92
  6. Step 6: Final answer
    x = 1,197.82

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Why These Related Problems?

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