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Finding the Fourth Proportional to 1,043.55, 1,439.69 and 601.22

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Solution

The fourth proportional to 1,043.55, 1,439.69 and 601.22 is: 829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.55 : 1,439.69 = 601.22 : x
  2. Step 2: Convert to fraction form
    1,043.55/1,439.69 = 601.22/x
  3. Step 3: Cross multiply
    1,043.55x = 1,439.69 × 601.22
  4. Step 4: Simplify right side
    1,043.55x = 865,570.42
  5. Step 5: Solve for x
    x = 865,570.42/1,043.55
  6. Step 6: Final answer
    x = 829.45

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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.