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Finding the Fourth Proportional to 1,039.19, 1,434.06 and 567.09

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Solution

The fourth proportional to 1,039.19, 1,434.06 and 567.09 is: 782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.19 : 1,434.06 = 567.09 : x
  2. Step 2: Convert to fraction form
    1,039.19/1,434.06 = 567.09/x
  3. Step 3: Cross multiply
    1,039.19x = 1,434.06 × 567.09
  4. Step 4: Simplify right side
    1,039.19x = 813,241.09
  5. Step 5: Solve for x
    x = 813,241.09/1,039.19
  6. Step 6: Final answer
    x = 782.58

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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.