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Finding the Fourth Proportional to 1,307.17, 1,960.21 and 441.01

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Solution

The fourth proportional to 1,307.17, 1,960.21 and 441.01 is: 661.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.17 : 1,960.21 = 441.01 : x
  2. Step 2: Convert to fraction form
    1,307.17/1,960.21 = 441.01/x
  3. Step 3: Cross multiply
    1,307.17x = 1,960.21 × 441.01
  4. Step 4: Simplify right side
    1,307.17x = 864,472.21
  5. Step 5: Solve for x
    x = 864,472.21/1,307.17
  6. Step 6: Final answer
    x = 661.33

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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.