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Finding the Fourth Proportional to 1,035.33, 1,428.75 and 593.23

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Solution

The fourth proportional to 1,035.33, 1,428.75 and 593.23 is: 818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.33 : 1,428.75 = 593.23 : x
  2. Step 2: Convert to fraction form
    1,035.33/1,428.75 = 593.23/x
  3. Step 3: Cross multiply
    1,035.33x = 1,428.75 × 593.23
  4. Step 4: Simplify right side
    1,035.33x = 847,577.36
  5. Step 5: Solve for x
    x = 847,577.36/1,035.33
  6. Step 6: Final answer
    x = 818.65

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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.