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Finding the Fourth Proportional to 1,499.54, 2,249.46 and 525.60

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Solution

The fourth proportional to 1,499.54, 2,249.46 and 525.60 is: 788.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.54 : 2,249.46 = 525.60 : x
  2. Step 2: Convert to fraction form
    1,499.54/2,249.46 = 525.60/x
  3. Step 3: Cross multiply
    1,499.54x = 2,249.46 × 525.60
  4. Step 4: Simplify right side
    1,499.54x = 1,182,316.18
  5. Step 5: Solve for x
    x = 1,182,316.18/1,499.54
  6. Step 6: Final answer
    x = 788.46

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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.