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Finding the Fourth Proportional to 924.89, 1,275.10 and 896.22

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Solution

The fourth proportional to 924.89, 1,275.10 and 896.22 is: 1,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.89 : 1,275.10 = 896.22 : x
  2. Step 2: Convert to fraction form
    924.89/1,275.10 = 896.22/x
  3. Step 3: Cross multiply
    924.89x = 1,275.10 × 896.22
  4. Step 4: Simplify right side
    924.89x = 1,142,767.88
  5. Step 5: Solve for x
    x = 1,142,767.88/924.89
  6. Step 6: Final answer
    x = 1,235.58

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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.