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Finding the Fourth Proportional to 970.48, 1,338.17 and 804.33

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Solution

The fourth proportional to 970.48, 1,338.17 and 804.33 is: 1,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.48 : 1,338.17 = 804.33 : x
  2. Step 2: Convert to fraction form
    970.48/1,338.17 = 804.33/x
  3. Step 3: Cross multiply
    970.48x = 1,338.17 × 804.33
  4. Step 4: Simplify right side
    970.48x = 1,076,330.78
  5. Step 5: Solve for x
    x = 1,076,330.78/970.48
  6. Step 6: Final answer
    x = 1,109.07

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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.