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Finding the Fourth Proportional to 1,103.10, 1,656.54 and 979.98

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Solution

The fourth proportional to 1,103.10, 1,656.54 and 979.98 is: 1,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.10 : 1,656.54 = 979.98 : x
  2. Step 2: Convert to fraction form
    1,103.10/1,656.54 = 979.98/x
  3. Step 3: Cross multiply
    1,103.10x = 1,656.54 × 979.98
  4. Step 4: Simplify right side
    1,103.10x = 1,623,376.07
  5. Step 5: Solve for x
    x = 1,623,376.07/1,103.10
  6. Step 6: Final answer
    x = 1,471.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.