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Finding the Fourth Proportional to 953.63, 1,429.95 and 433.38

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Solution

The fourth proportional to 953.63, 1,429.95 and 433.38 is: 649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.63 : 1,429.95 = 433.38 : x
  2. Step 2: Convert to fraction form
    953.63/1,429.95 = 433.38/x
  3. Step 3: Cross multiply
    953.63x = 1,429.95 × 433.38
  4. Step 4: Simplify right side
    953.63x = 619,718.72
  5. Step 5: Solve for x
    x = 619,718.72/953.63
  6. Step 6: Final answer
    x = 649.85

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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.