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Finding the Fourth Proportional to 964.14, 1,445.76 and 477

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Solution

The fourth proportional to 964.14, 1,445.76 and 477 is: 715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.14 : 1,445.76 = 477 : x
  2. Step 2: Convert to fraction form
    964.14/1,445.76 = 477/x
  3. Step 3: Cross multiply
    964.14x = 1,445.76 × 477
  4. Step 4: Simplify right side
    964.14x = 689,627.52
  5. Step 5: Solve for x
    x = 689,627.52/964.14
  6. Step 6: Final answer
    x = 715.28

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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.