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Finding the Fourth Proportional to 1,005.19, 1,393.01 and 985.75

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Solution

The fourth proportional to 1,005.19, 1,393.01 and 985.75 is: 1,366.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.19 : 1,393.01 = 985.75 : x
  2. Step 2: Convert to fraction form
    1,005.19/1,393.01 = 985.75/x
  3. Step 3: Cross multiply
    1,005.19x = 1,393.01 × 985.75
  4. Step 4: Simplify right side
    1,005.19x = 1,373,159.61
  5. Step 5: Solve for x
    x = 1,373,159.61/1,005.19
  6. Step 6: Final answer
    x = 1,366.07

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.