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Finding the Fourth Proportional to 1,141.70, 1,713.12 and 775.74

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Solution

The fourth proportional to 1,141.70, 1,713.12 and 775.74 is: 1,164.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.70 : 1,713.12 = 775.74 : x
  2. Step 2: Convert to fraction form
    1,141.70/1,713.12 = 775.74/x
  3. Step 3: Cross multiply
    1,141.70x = 1,713.12 × 775.74
  4. Step 4: Simplify right side
    1,141.70x = 1,328,939.22
  5. Step 5: Solve for x
    x = 1,328,939.22/1,141.70
  6. Step 6: Final answer
    x = 1,164.01

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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.