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Finding the Fourth Proportional to 875.39, 1,313.69 and 566.47

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Solution

The fourth proportional to 875.39, 1,313.69 and 566.47 is: 850.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.39 : 1,313.69 = 566.47 : x
  2. Step 2: Convert to fraction form
    875.39/1,313.69 = 566.47/x
  3. Step 3: Cross multiply
    875.39x = 1,313.69 × 566.47
  4. Step 4: Simplify right side
    875.39x = 744,163.14
  5. Step 5: Solve for x
    x = 744,163.14/875.39
  6. Step 6: Final answer
    x = 850.10

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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.