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Finding the Fourth Proportional to 877.96, 1,317.04 and 322.84

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Solution

The fourth proportional to 877.96, 1,317.04 and 322.84 is: 484.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.96 : 1,317.04 = 322.84 : x
  2. Step 2: Convert to fraction form
    877.96/1,317.04 = 322.84/x
  3. Step 3: Cross multiply
    877.96x = 1,317.04 × 322.84
  4. Step 4: Simplify right side
    877.96x = 425,189.09
  5. Step 5: Solve for x
    x = 425,189.09/877.96
  6. Step 6: Final answer
    x = 484.29

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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.