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Finding the Fourth Proportional to 953.46, 1,428.05 and 816.77

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Solution

The fourth proportional to 953.46, 1,428.05 and 816.77 is: 1,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.46 : 1,428.05 = 816.77 : x
  2. Step 2: Convert to fraction form
    953.46/1,428.05 = 816.77/x
  3. Step 3: Cross multiply
    953.46x = 1,428.05 × 816.77
  4. Step 4: Simplify right side
    953.46x = 1,166,377.17
  5. Step 5: Solve for x
    x = 1,166,377.17/953.46
  6. Step 6: Final answer
    x = 1,223.31

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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.