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Finding the Fourth Proportional to 873.12, 1,204.88 and 505.12

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Solution

The fourth proportional to 873.12, 1,204.88 and 505.12 is: 697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.12 : 1,204.88 = 505.12 : x
  2. Step 2: Convert to fraction form
    873.12/1,204.88 = 505.12/x
  3. Step 3: Cross multiply
    873.12x = 1,204.88 × 505.12
  4. Step 4: Simplify right side
    873.12x = 608,608.99
  5. Step 5: Solve for x
    x = 608,608.99/873.12
  6. Step 6: Final answer
    x = 697.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.