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Finding the Fourth Proportional to 814.87, 1,124.55 and 500.02

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Solution

The fourth proportional to 814.87, 1,124.55 and 500.02 is: 690.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.87 : 1,124.55 = 500.02 : x
  2. Step 2: Convert to fraction form
    814.87/1,124.55 = 500.02/x
  3. Step 3: Cross multiply
    814.87x = 1,124.55 × 500.02
  4. Step 4: Simplify right side
    814.87x = 562,297.49
  5. Step 5: Solve for x
    x = 562,297.49/814.87
  6. Step 6: Final answer
    x = 690.05

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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.