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Finding the Fourth Proportional to 875.10, 1,313.67 and 669.36

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Solution

The fourth proportional to 875.10, 1,313.67 and 669.36 is: 1,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.10 : 1,313.67 = 669.36 : x
  2. Step 2: Convert to fraction form
    875.10/1,313.67 = 669.36/x
  3. Step 3: Cross multiply
    875.10x = 1,313.67 × 669.36
  4. Step 4: Simplify right side
    875.10x = 879,321.82
  5. Step 5: Solve for x
    x = 879,321.82/875.10
  6. Step 6: Final answer
    x = 1,004.82

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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.