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Finding the Fourth Proportional to 1,041.18, 1,436.78 and 746.94

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Solution

The fourth proportional to 1,041.18, 1,436.78 and 746.94 is: 1,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041.18 : 1,436.78 = 746.94 : x
  2. Step 2: Convert to fraction form
    1,041.18/1,436.78 = 746.94/x
  3. Step 3: Cross multiply
    1,041.18x = 1,436.78 × 746.94
  4. Step 4: Simplify right side
    1,041.18x = 1,073,188.45
  5. Step 5: Solve for x
    x = 1,073,188.45/1,041.18
  6. Step 6: Final answer
    x = 1,030.74

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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.