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Finding the Fourth Proportional to 1,035.26, 1,428.64 and 593.13

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Solution

The fourth proportional to 1,035.26, 1,428.64 and 593.13 is: 818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.26 : 1,428.64 = 593.13 : x
  2. Step 2: Convert to fraction form
    1,035.26/1,428.64 = 593.13/x
  3. Step 3: Cross multiply
    1,035.26x = 1,428.64 × 593.13
  4. Step 4: Simplify right side
    1,035.26x = 847,373.12
  5. Step 5: Solve for x
    x = 847,373.12/1,035.26
  6. Step 6: Final answer
    x = 818.51

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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.