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Finding the Fourth Proportional to 1,499.70, 2,249.77 and 525.72

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Solution

The fourth proportional to 1,499.70, 2,249.77 and 525.72 is: 788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.70 : 2,249.77 = 525.72 : x
  2. Step 2: Convert to fraction form
    1,499.70/2,249.77 = 525.72/x
  3. Step 3: Cross multiply
    1,499.70x = 2,249.77 × 525.72
  4. Step 4: Simplify right side
    1,499.70x = 1,182,749.08
  5. Step 5: Solve for x
    x = 1,182,749.08/1,499.70
  6. Step 6: Final answer
    x = 788.66

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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.