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Finding the Fourth Proportional to 1,400.64, 1,932.89 and 771.18

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Solution

The fourth proportional to 1,400.64, 1,932.89 and 771.18 is: 1,064.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.64 : 1,932.89 = 771.18 : x
  2. Step 2: Convert to fraction form
    1,400.64/1,932.89 = 771.18/x
  3. Step 3: Cross multiply
    1,400.64x = 1,932.89 × 771.18
  4. Step 4: Simplify right side
    1,400.64x = 1,490,602.25
  5. Step 5: Solve for x
    x = 1,490,602.25/1,400.64
  6. Step 6: Final answer
    x = 1,064.23

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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.