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Finding the Fourth Proportional to 924.72, 1,276.24 and 609.92

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Solution

The fourth proportional to 924.72, 1,276.24 and 609.92 is: 841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.72 : 1,276.24 = 609.92 : x
  2. Step 2: Convert to fraction form
    924.72/1,276.24 = 609.92/x
  3. Step 3: Cross multiply
    924.72x = 1,276.24 × 609.92
  4. Step 4: Simplify right side
    924.72x = 778,404.30
  5. Step 5: Solve for x
    x = 778,404.30/924.72
  6. Step 6: Final answer
    x = 841.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.