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Finding the Fourth Proportional to 1,301.84, 1,952.32 and 377.09

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Solution

The fourth proportional to 1,301.84, 1,952.32 and 377.09 is: 565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.84 : 1,952.32 = 377.09 : x
  2. Step 2: Convert to fraction form
    1,301.84/1,952.32 = 377.09/x
  3. Step 3: Cross multiply
    1,301.84x = 1,952.32 × 377.09
  4. Step 4: Simplify right side
    1,301.84x = 736,200.35
  5. Step 5: Solve for x
    x = 736,200.35/1,301.84
  6. Step 6: Final answer
    x = 565.51

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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.