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Finding the Fourth Proportional to 1,035.67, 1,429.25 and 563.59

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Solution

The fourth proportional to 1,035.67, 1,429.25 and 563.59 is: 777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.67 : 1,429.25 = 563.59 : x
  2. Step 2: Convert to fraction form
    1,035.67/1,429.25 = 563.59/x
  3. Step 3: Cross multiply
    1,035.67x = 1,429.25 × 563.59
  4. Step 4: Simplify right side
    1,035.67x = 805,508.19
  5. Step 5: Solve for x
    x = 805,508.19/1,035.67
  6. Step 6: Final answer
    x = 777.77

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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.