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Finding the Fourth Proportional to 924.12, 1,385.46 and 436.86

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Solution

The fourth proportional to 924.12, 1,385.46 and 436.86 is: 654.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.12 : 1,385.46 = 436.86 : x
  2. Step 2: Convert to fraction form
    924.12/1,385.46 = 436.86/x
  3. Step 3: Cross multiply
    924.12x = 1,385.46 × 436.86
  4. Step 4: Simplify right side
    924.12x = 605,252.06
  5. Step 5: Solve for x
    x = 605,252.06/924.12
  6. Step 6: Final answer
    x = 654.95

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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.