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Finding the Fourth Proportional to 1,043.93, 1,440.77 and 601.74

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Solution

The fourth proportional to 1,043.93, 1,440.77 and 601.74 is: 830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.93 : 1,440.77 = 601.74 : x
  2. Step 2: Convert to fraction form
    1,043.93/1,440.77 = 601.74/x
  3. Step 3: Cross multiply
    1,043.93x = 1,440.77 × 601.74
  4. Step 4: Simplify right side
    1,043.93x = 866,968.94
  5. Step 5: Solve for x
    x = 866,968.94/1,043.93
  6. Step 6: Final answer
    x = 830.49

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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.