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Finding the Fourth Proportional to 1,021.76, 1,528.46 and 816.74

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Solution

The fourth proportional to 1,021.76, 1,528.46 and 816.74 is: 1,221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.76 : 1,528.46 = 816.74 : x
  2. Step 2: Convert to fraction form
    1,021.76/1,528.46 = 816.74/x
  3. Step 3: Cross multiply
    1,021.76x = 1,528.46 × 816.74
  4. Step 4: Simplify right side
    1,021.76x = 1,248,354.42
  5. Step 5: Solve for x
    x = 1,248,354.42/1,021.76
  6. Step 6: Final answer
    x = 1,221.77

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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.