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Finding the Fourth Proportional to 924.66, 1,386.54 and 275.34

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Solution

The fourth proportional to 924.66, 1,386.54 and 275.34 is: 412.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.66 : 1,386.54 = 275.34 : x
  2. Step 2: Convert to fraction form
    924.66/1,386.54 = 275.34/x
  3. Step 3: Cross multiply
    924.66x = 1,386.54 × 275.34
  4. Step 4: Simplify right side
    924.66x = 381,769.92
  5. Step 5: Solve for x
    x = 381,769.92/924.66
  6. Step 6: Final answer
    x = 412.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.