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Finding the Fourth Proportional to 814.57, 1,124.08 and 460.51

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Solution

The fourth proportional to 814.57, 1,124.08 and 460.51 is: 635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.57 : 1,124.08 = 460.51 : x
  2. Step 2: Convert to fraction form
    814.57/1,124.08 = 460.51/x
  3. Step 3: Cross multiply
    814.57x = 1,124.08 × 460.51
  4. Step 4: Simplify right side
    814.57x = 517,646.12
  5. Step 5: Solve for x
    x = 517,646.12/814.57
  6. Step 6: Final answer
    x = 635.49

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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.