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Finding the Fourth Proportional to 924.82, 1,275.80 and 823.84

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Solution

The fourth proportional to 924.82, 1,275.80 and 823.84 is: 1,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.82 : 1,275.80 = 823.84 : x
  2. Step 2: Convert to fraction form
    924.82/1,275.80 = 823.84/x
  3. Step 3: Cross multiply
    924.82x = 1,275.80 × 823.84
  4. Step 4: Simplify right side
    924.82x = 1,051,055.07
  5. Step 5: Solve for x
    x = 1,051,055.07/924.82
  6. Step 6: Final answer
    x = 1,136.50

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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.