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Finding the Fourth Proportional to 886.52, 1,328.56 and 452.77

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Solution

The fourth proportional to 886.52, 1,328.56 and 452.77 is: 678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.52 : 1,328.56 = 452.77 : x
  2. Step 2: Convert to fraction form
    886.52/1,328.56 = 452.77/x
  3. Step 3: Cross multiply
    886.52x = 1,328.56 × 452.77
  4. Step 4: Simplify right side
    886.52x = 601,532.11
  5. Step 5: Solve for x
    x = 601,532.11/886.52
  6. Step 6: Final answer
    x = 678.53

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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.