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Finding the Fourth Proportional to 814.83, 1,124.50 and 483.24

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Solution

The fourth proportional to 814.83, 1,124.50 and 483.24 is: 666.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.83 : 1,124.50 = 483.24 : x
  2. Step 2: Convert to fraction form
    814.83/1,124.50 = 483.24/x
  3. Step 3: Cross multiply
    814.83x = 1,124.50 × 483.24
  4. Step 4: Simplify right side
    814.83x = 543,403.38
  5. Step 5: Solve for x
    x = 543,403.38/814.83
  6. Step 6: Final answer
    x = 666.89

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Half scale
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Double scale
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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.