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Finding the Fourth Proportional to 875.09, 1,312.65 and 225.88

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Solution

The fourth proportional to 875.09, 1,312.65 and 225.88 is: 338.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.09 : 1,312.65 = 225.88 : x
  2. Step 2: Convert to fraction form
    875.09/1,312.65 = 225.88/x
  3. Step 3: Cross multiply
    875.09x = 1,312.65 × 225.88
  4. Step 4: Simplify right side
    875.09x = 296,498.10
  5. Step 5: Solve for x
    x = 296,498.10/875.09
  6. Step 6: Final answer
    x = 338.82

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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.