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Finding the Fourth Proportional to 1,039.37, 1,558.82 and 345.87

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Solution

The fourth proportional to 1,039.37, 1,558.82 and 345.87 is: 518.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.37 : 1,558.82 = 345.87 : x
  2. Step 2: Convert to fraction form
    1,039.37/1,558.82 = 345.87/x
  3. Step 3: Cross multiply
    1,039.37x = 1,558.82 × 345.87
  4. Step 4: Simplify right side
    1,039.37x = 539,149.07
  5. Step 5: Solve for x
    x = 539,149.07/1,039.37
  6. Step 6: Final answer
    x = 518.73

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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.