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Finding the Fourth Proportional to 1,033.88, 1,427.00 and 592.03

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Solution

The fourth proportional to 1,033.88, 1,427.00 and 592.03 is: 817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.88 : 1,427.00 = 592.03 : x
  2. Step 2: Convert to fraction form
    1,033.88/1,427.00 = 592.03/x
  3. Step 3: Cross multiply
    1,033.88x = 1,427.00 × 592.03
  4. Step 4: Simplify right side
    1,033.88x = 844,820.28
  5. Step 5: Solve for x
    x = 844,820.28/1,033.88
  6. Step 6: Final answer
    x = 817.14

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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.