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Finding the Fourth Proportional to 875.24, 1,313.64 and 782.56

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Solution

The fourth proportional to 875.24, 1,313.64 and 782.56 is: 1,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.24 : 1,313.64 = 782.56 : x
  2. Step 2: Convert to fraction form
    875.24/1,313.64 = 782.56/x
  3. Step 3: Cross multiply
    875.24x = 1,313.64 × 782.56
  4. Step 4: Simplify right side
    875.24x = 1,028,002.12
  5. Step 5: Solve for x
    x = 1,028,002.12/875.24
  6. Step 6: Final answer
    x = 1,174.54

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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.