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Finding the Fourth Proportional to 1,043.51, 1,440.04 and 601.41

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Solution

The fourth proportional to 1,043.51, 1,440.04 and 601.41 is: 829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.51 : 1,440.04 = 601.41 : x
  2. Step 2: Convert to fraction form
    1,043.51/1,440.04 = 601.41/x
  3. Step 3: Cross multiply
    1,043.51x = 1,440.04 × 601.41
  4. Step 4: Simplify right side
    1,043.51x = 866,054.46
  5. Step 5: Solve for x
    x = 866,054.46/1,043.51
  6. Step 6: Final answer
    x = 829.94

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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.