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Finding the Fourth Proportional to 814.30, 1,124.48 and 520.09

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Solution

The fourth proportional to 814.30, 1,124.48 and 520.09 is: 718.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.30 : 1,124.48 = 520.09 : x
  2. Step 2: Convert to fraction form
    814.30/1,124.48 = 520.09/x
  3. Step 3: Cross multiply
    814.30x = 1,124.48 × 520.09
  4. Step 4: Simplify right side
    814.30x = 584,829.29
  5. Step 5: Solve for x
    x = 584,829.29/814.30
  6. Step 6: Final answer
    x = 718.20

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1.5x scale

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.