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Finding the Fourth Proportional to 924.24, 1,275.66 and 629.63

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Solution

The fourth proportional to 924.24, 1,275.66 and 629.63 is: 869.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.24 : 1,275.66 = 629.63 : x
  2. Step 2: Convert to fraction form
    924.24/1,275.66 = 629.63/x
  3. Step 3: Cross multiply
    924.24x = 1,275.66 × 629.63
  4. Step 4: Simplify right side
    924.24x = 803,187.43
  5. Step 5: Solve for x
    x = 803,187.43/924.24
  6. Step 6: Final answer
    x = 869.02

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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.