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Finding the Fourth Proportional to 1,106, 1,527.36 and 732.80

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Solution

The fourth proportional to 1,106, 1,527.36 and 732.80 is: 1,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106 : 1,527.36 = 732.80 : x
  2. Step 2: Convert to fraction form
    1,106/1,527.36 = 732.80/x
  3. Step 3: Cross multiply
    1,106x = 1,527.36 × 732.80
  4. Step 4: Simplify right side
    1,106x = 1,119,249.41
  5. Step 5: Solve for x
    x = 1,119,249.41/1,106
  6. Step 6: Final answer
    x = 1,011.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.