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Finding the Fourth Proportional to 875.44, 1,313.57 and 442.63

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Solution

The fourth proportional to 875.44, 1,313.57 and 442.63 is: 664.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.44 : 1,313.57 = 442.63 : x
  2. Step 2: Convert to fraction form
    875.44/1,313.57 = 442.63/x
  3. Step 3: Cross multiply
    875.44x = 1,313.57 × 442.63
  4. Step 4: Simplify right side
    875.44x = 581,425.49
  5. Step 5: Solve for x
    x = 581,425.49/875.44
  6. Step 6: Final answer
    x = 664.15

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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.