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Finding the Fourth Proportional to 1,040.08, 1,435.31 and 567.98

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Solution

The fourth proportional to 1,040.08, 1,435.31 and 567.98 is: 783.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.08 : 1,435.31 = 567.98 : x
  2. Step 2: Convert to fraction form
    1,040.08/1,435.31 = 567.98/x
  3. Step 3: Cross multiply
    1,040.08x = 1,435.31 × 567.98
  4. Step 4: Simplify right side
    1,040.08x = 815,228.88
  5. Step 5: Solve for x
    x = 815,228.88/1,040.08
  6. Step 6: Final answer
    x = 783.81

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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.