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Finding the Fourth Proportional to 924.52, 1,275.06 and 727.72

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Solution

The fourth proportional to 924.52, 1,275.06 and 727.72 is: 1,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.52 : 1,275.06 = 727.72 : x
  2. Step 2: Convert to fraction form
    924.52/1,275.06 = 727.72/x
  3. Step 3: Cross multiply
    924.52x = 1,275.06 × 727.72
  4. Step 4: Simplify right side
    924.52x = 927,886.66
  5. Step 5: Solve for x
    x = 927,886.66/924.52
  6. Step 6: Final answer
    x = 1,003.64

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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.