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Finding the Fourth Proportional to 924.93, 1,276.29 and 645.48

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Solution

The fourth proportional to 924.93, 1,276.29 and 645.48 is: 890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.93 : 1,276.29 = 645.48 : x
  2. Step 2: Convert to fraction form
    924.93/1,276.29 = 645.48/x
  3. Step 3: Cross multiply
    924.93x = 1,276.29 × 645.48
  4. Step 4: Simplify right side
    924.93x = 823,819.67
  5. Step 5: Solve for x
    x = 823,819.67/924.93
  6. Step 6: Final answer
    x = 890.68

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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.