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Finding the Fourth Proportional to 1,284.37, 1,924.80 and 552.94

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Solution

The fourth proportional to 1,284.37, 1,924.80 and 552.94 is: 828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.37 : 1,924.80 = 552.94 : x
  2. Step 2: Convert to fraction form
    1,284.37/1,924.80 = 552.94/x
  3. Step 3: Cross multiply
    1,284.37x = 1,924.80 × 552.94
  4. Step 4: Simplify right side
    1,284.37x = 1,064,298.91
  5. Step 5: Solve for x
    x = 1,064,298.91/1,284.37
  6. Step 6: Final answer
    x = 828.65

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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.