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Finding the Fourth Proportional to 924.08, 1,385.88 and 513.44

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Solution

The fourth proportional to 924.08, 1,385.88 and 513.44 is: 770.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.08 : 1,385.88 = 513.44 : x
  2. Step 2: Convert to fraction form
    924.08/1,385.88 = 513.44/x
  3. Step 3: Cross multiply
    924.08x = 1,385.88 × 513.44
  4. Step 4: Simplify right side
    924.08x = 711,566.23
  5. Step 5: Solve for x
    x = 711,566.23/924.08
  6. Step 6: Final answer
    x = 770.03

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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.