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Finding the Fourth Proportional to 814.75, 1,124.08 and 499.90

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Solution

The fourth proportional to 814.75, 1,124.08 and 499.90 is: 689.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.75 : 1,124.08 = 499.90 : x
  2. Step 2: Convert to fraction form
    814.75/1,124.08 = 499.90/x
  3. Step 3: Cross multiply
    814.75x = 1,124.08 × 499.90
  4. Step 4: Simplify right side
    814.75x = 561,927.59
  5. Step 5: Solve for x
    x = 561,927.59/814.75
  6. Step 6: Final answer
    x = 689.69

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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.