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Finding the Fourth Proportional to 934.02, 1,400.72 and 414

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Solution

The fourth proportional to 934.02, 1,400.72 and 414 is: 620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.02 : 1,400.72 = 414 : x
  2. Step 2: Convert to fraction form
    934.02/1,400.72 = 414/x
  3. Step 3: Cross multiply
    934.02x = 1,400.72 × 414
  4. Step 4: Simplify right side
    934.02x = 579,898.08
  5. Step 5: Solve for x
    x = 579,898.08/934.02
  6. Step 6: Final answer
    x = 620.86

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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.