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Finding the Fourth Proportional to 1,298.28, 1,945.68 and 475.77

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Solution

The fourth proportional to 1,298.28, 1,945.68 and 475.77 is: 713.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.28 : 1,945.68 = 475.77 : x
  2. Step 2: Convert to fraction form
    1,298.28/1,945.68 = 475.77/x
  3. Step 3: Cross multiply
    1,298.28x = 1,945.68 × 475.77
  4. Step 4: Simplify right side
    1,298.28x = 925,696.17
  5. Step 5: Solve for x
    x = 925,696.17/1,298.28
  6. Step 6: Final answer
    x = 713.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.