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Finding the Fourth Proportional to 924.75, 1,387.94 and 514.08

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Solution

The fourth proportional to 924.75, 1,387.94 and 514.08 is: 771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.75 : 1,387.94 = 514.08 : x
  2. Step 2: Convert to fraction form
    924.75/1,387.94 = 514.08/x
  3. Step 3: Cross multiply
    924.75x = 1,387.94 × 514.08
  4. Step 4: Simplify right side
    924.75x = 713,509.62
  5. Step 5: Solve for x
    x = 713,509.62/924.75
  6. Step 6: Final answer
    x = 771.57

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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.