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Finding the Fourth Proportional to 924.92, 1,387.64 and 514.35

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Solution

The fourth proportional to 924.92, 1,387.64 and 514.35 is: 771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.92 : 1,387.64 = 514.35 : x
  2. Step 2: Convert to fraction form
    924.92/1,387.64 = 514.35/x
  3. Step 3: Cross multiply
    924.92x = 1,387.64 × 514.35
  4. Step 4: Simplify right side
    924.92x = 713,728.63
  5. Step 5: Solve for x
    x = 713,728.63/924.92
  6. Step 6: Final answer
    x = 771.66

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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.