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Finding the Fourth Proportional to 1,256.24, 1,884.48 and 525.76

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Solution

The fourth proportional to 1,256.24, 1,884.48 and 525.76 is: 788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.24 : 1,884.48 = 525.76 : x
  2. Step 2: Convert to fraction form
    1,256.24/1,884.48 = 525.76/x
  3. Step 3: Cross multiply
    1,256.24x = 1,884.48 × 525.76
  4. Step 4: Simplify right side
    1,256.24x = 990,784.20
  5. Step 5: Solve for x
    x = 990,784.20/1,256.24
  6. Step 6: Final answer
    x = 788.69

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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.