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Finding the Fourth Proportional to 814.53, 1,123.74 and 578.46

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Solution

The fourth proportional to 814.53, 1,123.74 and 578.46 is: 798.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.53 : 1,123.74 = 578.46 : x
  2. Step 2: Convert to fraction form
    814.53/1,123.74 = 578.46/x
  3. Step 3: Cross multiply
    814.53x = 1,123.74 × 578.46
  4. Step 4: Simplify right side
    814.53x = 650,038.64
  5. Step 5: Solve for x
    x = 650,038.64/814.53
  6. Step 6: Final answer
    x = 798.05

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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.