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Finding the Fourth Proportional to 814.63, 1,123.01 and 581.35

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Solution

The fourth proportional to 814.63, 1,123.01 and 581.35 is: 801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.63 : 1,123.01 = 581.35 : x
  2. Step 2: Convert to fraction form
    814.63/1,123.01 = 581.35/x
  3. Step 3: Cross multiply
    814.63x = 1,123.01 × 581.35
  4. Step 4: Simplify right side
    814.63x = 652,860.51
  5. Step 5: Solve for x
    x = 652,860.51/814.63
  6. Step 6: Final answer
    x = 801.42

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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.