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Finding the Fourth Proportional to 1,434.40, 1,978.32 and 910.56

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Solution

The fourth proportional to 1,434.40, 1,978.32 and 910.56 is: 1,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.40 : 1,978.32 = 910.56 : x
  2. Step 2: Convert to fraction form
    1,434.40/1,978.32 = 910.56/x
  3. Step 3: Cross multiply
    1,434.40x = 1,978.32 × 910.56
  4. Step 4: Simplify right side
    1,434.40x = 1,801,379.06
  5. Step 5: Solve for x
    x = 1,801,379.06/1,434.40
  6. Step 6: Final answer
    x = 1,255.84

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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.