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Finding the Fourth Proportional to 1,113.60, 1,537.92 and 918.48

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Solution

The fourth proportional to 1,113.60, 1,537.92 and 918.48 is: 1,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.60 : 1,537.92 = 918.48 : x
  2. Step 2: Convert to fraction form
    1,113.60/1,537.92 = 918.48/x
  3. Step 3: Cross multiply
    1,113.60x = 1,537.92 × 918.48
  4. Step 4: Simplify right side
    1,113.60x = 1,412,548.76
  5. Step 5: Solve for x
    x = 1,412,548.76/1,113.60
  6. Step 6: Final answer
    x = 1,268.45

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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.