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Finding the Fourth Proportional to 1,109.62, 1,529.74 and 755.00

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Solution

The fourth proportional to 1,109.62, 1,529.74 and 755.00 is: 1,040.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.62 : 1,529.74 = 755.00 : x
  2. Step 2: Convert to fraction form
    1,109.62/1,529.74 = 755.00/x
  3. Step 3: Cross multiply
    1,109.62x = 1,529.74 × 755.00
  4. Step 4: Simplify right side
    1,109.62x = 1,154,944.18
  5. Step 5: Solve for x
    x = 1,154,944.18/1,109.62
  6. Step 6: Final answer
    x = 1,040.84

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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.