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Finding the Fourth Proportional to 1,035.24, 1,428.62 and 563.13

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Solution

The fourth proportional to 1,035.24, 1,428.62 and 563.13 is: 777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.24 : 1,428.62 = 563.13 : x
  2. Step 2: Convert to fraction form
    1,035.24/1,428.62 = 563.13/x
  3. Step 3: Cross multiply
    1,035.24x = 1,428.62 × 563.13
  4. Step 4: Simplify right side
    1,035.24x = 804,500.19
  5. Step 5: Solve for x
    x = 804,500.19/1,035.24
  6. Step 6: Final answer
    x = 777.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.