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Finding the Fourth Proportional to 1,200.31, 1,655.60 and 846.98

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Solution

The fourth proportional to 1,200.31, 1,655.60 and 846.98 is: 1,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.31 : 1,655.60 = 846.98 : x
  2. Step 2: Convert to fraction form
    1,200.31/1,655.60 = 846.98/x
  3. Step 3: Cross multiply
    1,200.31x = 1,655.60 × 846.98
  4. Step 4: Simplify right side
    1,200.31x = 1,402,260.09
  5. Step 5: Solve for x
    x = 1,402,260.09/1,200.31
  6. Step 6: Final answer
    x = 1,168.25

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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.