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Finding the Fourth Proportional to 1,435.47, 1,980.90 and 814.47

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Solution

The fourth proportional to 1,435.47, 1,980.90 and 814.47 is: 1,123.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.47 : 1,980.90 = 814.47 : x
  2. Step 2: Convert to fraction form
    1,435.47/1,980.90 = 814.47/x
  3. Step 3: Cross multiply
    1,435.47x = 1,980.90 × 814.47
  4. Step 4: Simplify right side
    1,435.47x = 1,613,383.62
  5. Step 5: Solve for x
    x = 1,613,383.62/1,435.47
  6. Step 6: Final answer
    x = 1,123.94

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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.