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Finding the Fourth Proportional to 1,333.51, 1,840.14 and 744.05

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Solution

The fourth proportional to 1,333.51, 1,840.14 and 744.05 is: 1,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.51 : 1,840.14 = 744.05 : x
  2. Step 2: Convert to fraction form
    1,333.51/1,840.14 = 744.05/x
  3. Step 3: Cross multiply
    1,333.51x = 1,840.14 × 744.05
  4. Step 4: Simplify right side
    1,333.51x = 1,369,160.77
  5. Step 5: Solve for x
    x = 1,369,160.77/1,333.51
  6. Step 6: Final answer
    x = 1,026.74

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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.