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Finding the Fourth Proportional to 1,106.61, 1,659.92 and 284.88

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Solution

The fourth proportional to 1,106.61, 1,659.92 and 284.88 is: 427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.61 : 1,659.92 = 284.88 : x
  2. Step 2: Convert to fraction form
    1,106.61/1,659.92 = 284.88/x
  3. Step 3: Cross multiply
    1,106.61x = 1,659.92 × 284.88
  4. Step 4: Simplify right side
    1,106.61x = 472,877.65
  5. Step 5: Solve for x
    x = 472,877.65/1,106.61
  6. Step 6: Final answer
    x = 427.32

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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.