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Finding the Fourth Proportional to 1,106.82, 1,527.84 and 752.58

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Solution

The fourth proportional to 1,106.82, 1,527.84 and 752.58 is: 1,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.82 : 1,527.84 = 752.58 : x
  2. Step 2: Convert to fraction form
    1,106.82/1,527.84 = 752.58/x
  3. Step 3: Cross multiply
    1,106.82x = 1,527.84 × 752.58
  4. Step 4: Simplify right side
    1,106.82x = 1,149,821.83
  5. Step 5: Solve for x
    x = 1,149,821.83/1,106.82
  6. Step 6: Final answer
    x = 1,038.85

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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.