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Finding the Fourth Proportional to 1,459.48, 2,189.04 and 593.52

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Solution

The fourth proportional to 1,459.48, 2,189.04 and 593.52 is: 890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.48 : 2,189.04 = 593.52 : x
  2. Step 2: Convert to fraction form
    1,459.48/2,189.04 = 593.52/x
  3. Step 3: Cross multiply
    1,459.48x = 2,189.04 × 593.52
  4. Step 4: Simplify right side
    1,459.48x = 1,299,239.02
  5. Step 5: Solve for x
    x = 1,299,239.02/1,459.48
  6. Step 6: Final answer
    x = 890.21

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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.