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Finding the Fourth Proportional to 1,106.49, 1,659.80 and 284.77

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Solution

The fourth proportional to 1,106.49, 1,659.80 and 284.77 is: 427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.49 : 1,659.80 = 284.77 : x
  2. Step 2: Convert to fraction form
    1,106.49/1,659.80 = 284.77/x
  3. Step 3: Cross multiply
    1,106.49x = 1,659.80 × 284.77
  4. Step 4: Simplify right side
    1,106.49x = 472,655.67
  5. Step 5: Solve for x
    x = 472,655.67/1,106.49
  6. Step 6: Final answer
    x = 427.17

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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.