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Finding the Fourth Proportional to 1,459.92, 2,189.07 and 593.22

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Solution

The fourth proportional to 1,459.92, 2,189.07 and 593.22 is: 889.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.92 : 2,189.07 = 593.22 : x
  2. Step 2: Convert to fraction form
    1,459.92/2,189.07 = 593.22/x
  3. Step 3: Cross multiply
    1,459.92x = 2,189.07 × 593.22
  4. Step 4: Simplify right side
    1,459.92x = 1,298,600.11
  5. Step 5: Solve for x
    x = 1,298,600.11/1,459.92
  6. Step 6: Final answer
    x = 889.50

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.