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Finding the Fourth Proportional to 1,580.83, 2,371.24 and 593.60

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Solution

The fourth proportional to 1,580.83, 2,371.24 and 593.60 is: 890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.83 : 2,371.24 = 593.60 : x
  2. Step 2: Convert to fraction form
    1,580.83/2,371.24 = 593.60/x
  3. Step 3: Cross multiply
    1,580.83x = 2,371.24 × 593.60
  4. Step 4: Simplify right side
    1,580.83x = 1,407,574.45
  5. Step 5: Solve for x
    x = 1,407,574.45/1,580.83
  6. Step 6: Final answer
    x = 890.40

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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.