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Finding the Fourth Proportional to 781.83, 1,075.68 and 594.22

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Solution

The fourth proportional to 781.83, 1,075.68 and 594.22 is: 817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.83 : 1,075.68 = 594.22 : x
  2. Step 2: Convert to fraction form
    781.83/1,075.68 = 594.22/x
  3. Step 3: Cross multiply
    781.83x = 1,075.68 × 594.22
  4. Step 4: Simplify right side
    781.83x = 639,190.57
  5. Step 5: Solve for x
    x = 639,190.57/781.83
  6. Step 6: Final answer
    x = 817.56

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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.