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Finding the Fourth Proportional to 1,403.47, 1,936.80 and 773.99

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Solution

The fourth proportional to 1,403.47, 1,936.80 and 773.99 is: 1,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.47 : 1,936.80 = 773.99 : x
  2. Step 2: Convert to fraction form
    1,403.47/1,936.80 = 773.99/x
  3. Step 3: Cross multiply
    1,403.47x = 1,936.80 × 773.99
  4. Step 4: Simplify right side
    1,403.47x = 1,499,060.32
  5. Step 5: Solve for x
    x = 1,499,060.32/1,403.47
  6. Step 6: Final answer
    x = 1,068.11

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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.