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Finding the Fourth Proportional to 1,403.34, 1,935.09 and 955.50

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Solution

The fourth proportional to 1,403.34, 1,935.09 and 955.50 is: 1,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.34 : 1,935.09 = 955.50 : x
  2. Step 2: Convert to fraction form
    1,403.34/1,935.09 = 955.50/x
  3. Step 3: Cross multiply
    1,403.34x = 1,935.09 × 955.50
  4. Step 4: Simplify right side
    1,403.34x = 1,848,978.50
  5. Step 5: Solve for x
    x = 1,848,978.50/1,403.34
  6. Step 6: Final answer
    x = 1,317.56

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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.