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Finding the Fourth Proportional to 1,112.63, 1,673.58 and 928.10

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Solution

The fourth proportional to 1,112.63, 1,673.58 and 928.10 is: 1,396.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.63 : 1,673.58 = 928.10 : x
  2. Step 2: Convert to fraction form
    1,112.63/1,673.58 = 928.10/x
  3. Step 3: Cross multiply
    1,112.63x = 1,673.58 × 928.10
  4. Step 4: Simplify right side
    1,112.63x = 1,553,249.60
  5. Step 5: Solve for x
    x = 1,553,249.60/1,112.63
  6. Step 6: Final answer
    x = 1,396.02

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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.