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Finding the Fourth Proportional to 970.30, 1,338.89 and 803.85

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Solution

The fourth proportional to 970.30, 1,338.89 and 803.85 is: 1,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.30 : 1,338.89 = 803.85 : x
  2. Step 2: Convert to fraction form
    970.30/1,338.89 = 803.85/x
  3. Step 3: Cross multiply
    970.30x = 1,338.89 × 803.85
  4. Step 4: Simplify right side
    970.30x = 1,076,266.73
  5. Step 5: Solve for x
    x = 1,076,266.73/970.30
  6. Step 6: Final answer
    x = 1,109.21

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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.