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Finding the Fourth Proportional to 875.16, 1,313.94 and 561.96

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Solution

The fourth proportional to 875.16, 1,313.94 and 561.96 is: 843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.16 : 1,313.94 = 561.96 : x
  2. Step 2: Convert to fraction form
    875.16/1,313.94 = 561.96/x
  3. Step 3: Cross multiply
    875.16x = 1,313.94 × 561.96
  4. Step 4: Simplify right side
    875.16x = 738,381.72
  5. Step 5: Solve for x
    x = 738,381.72/875.16
  6. Step 6: Final answer
    x = 843.71

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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.