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Finding the Fourth Proportional to 1,364.46, 1,882.97 and 775.01

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Solution

The fourth proportional to 1,364.46, 1,882.97 and 775.01 is: 1,069.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.46 : 1,882.97 = 775.01 : x
  2. Step 2: Convert to fraction form
    1,364.46/1,882.97 = 775.01/x
  3. Step 3: Cross multiply
    1,364.46x = 1,882.97 × 775.01
  4. Step 4: Simplify right side
    1,364.46x = 1,459,327.22
  5. Step 5: Solve for x
    x = 1,459,327.22/1,364.46
  6. Step 6: Final answer
    x = 1,069.53

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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.