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Finding the Fourth Proportional to 1,106, 1,655.64 and 737.84

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Solution

The fourth proportional to 1,106, 1,655.64 and 737.84 is: 1,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106 : 1,655.64 = 737.84 : x
  2. Step 2: Convert to fraction form
    1,106/1,655.64 = 737.84/x
  3. Step 3: Cross multiply
    1,106x = 1,655.64 × 737.84
  4. Step 4: Simplify right side
    1,106x = 1,221,597.42
  5. Step 5: Solve for x
    x = 1,221,597.42/1,106
  6. Step 6: Final answer
    x = 1,104.52

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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.