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Finding the Fourth Proportional to 1,033.60, 1,416.69 and 1,026.40

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Solution

The fourth proportional to 1,033.60, 1,416.69 and 1,026.40 is: 1,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.60 : 1,416.69 = 1,026.40 : x
  2. Step 2: Convert to fraction form
    1,033.60/1,416.69 = 1,026.40/x
  3. Step 3: Cross multiply
    1,033.60x = 1,416.69 × 1,026.40
  4. Step 4: Simplify right side
    1,033.60x = 1,454,090.62
  5. Step 5: Solve for x
    x = 1,454,090.62/1,033.60
  6. Step 6: Final answer
    x = 1,406.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.