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Finding the Fourth Proportional to 1,282.06, 1,924.12 and 665.94

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Solution

The fourth proportional to 1,282.06, 1,924.12 and 665.94 is: 999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.06 : 1,924.12 = 665.94 : x
  2. Step 2: Convert to fraction form
    1,282.06/1,924.12 = 665.94/x
  3. Step 3: Cross multiply
    1,282.06x = 1,924.12 × 665.94
  4. Step 4: Simplify right side
    1,282.06x = 1,281,348.47
  5. Step 5: Solve for x
    x = 1,281,348.47/1,282.06
  6. Step 6: Final answer
    x = 999.45

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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.