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Finding the Fourth Proportional to 924.59, 1,384.49 and 513.25

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Solution

The fourth proportional to 924.59, 1,384.49 and 513.25 is: 768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.59 : 1,384.49 = 513.25 : x
  2. Step 2: Convert to fraction form
    924.59/1,384.49 = 513.25/x
  3. Step 3: Cross multiply
    924.59x = 1,384.49 × 513.25
  4. Step 4: Simplify right side
    924.59x = 710,587.31
  5. Step 5: Solve for x
    x = 710,587.31/924.59
  6. Step 6: Final answer
    x = 768.54

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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.