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Finding the Fourth Proportional to 1,112.00, 1,535.02 and 846.47

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Solution

The fourth proportional to 1,112.00, 1,535.02 and 846.47 is: 1,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.00 : 1,535.02 = 846.47 : x
  2. Step 2: Convert to fraction form
    1,112.00/1,535.02 = 846.47/x
  3. Step 3: Cross multiply
    1,112.00x = 1,535.02 × 846.47
  4. Step 4: Simplify right side
    1,112.00x = 1,299,350.10
  5. Step 5: Solve for x
    x = 1,299,350.10/1,112.00
  6. Step 6: Final answer
    x = 1,168.49

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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.