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Finding the Fourth Proportional to 885.76, 1,326.72 and 595.84

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Solution

The fourth proportional to 885.76, 1,326.72 and 595.84 is: 892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    885.76 : 1,326.72 = 595.84 : x
  2. Step 2: Convert to fraction form
    885.76/1,326.72 = 595.84/x
  3. Step 3: Cross multiply
    885.76x = 1,326.72 × 595.84
  4. Step 4: Simplify right side
    885.76x = 790,512.84
  5. Step 5: Solve for x
    x = 790,512.84/885.76
  6. Step 6: Final answer
    x = 892.47

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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.