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Finding the Fourth Proportional to 814.59, 1,125.63 and 593.16

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Solution

The fourth proportional to 814.59, 1,125.63 and 593.16 is: 819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.59 : 1,125.63 = 593.16 : x
  2. Step 2: Convert to fraction form
    814.59/1,125.63 = 593.16/x
  3. Step 3: Cross multiply
    814.59x = 1,125.63 × 593.16
  4. Step 4: Simplify right side
    814.59x = 667,670.10
  5. Step 5: Solve for x
    x = 667,670.10/814.59
  6. Step 6: Final answer
    x = 819.64

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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.