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Finding the Fourth Proportional to 1,306.68, 1,960.02 and 429.18

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Solution

The fourth proportional to 1,306.68, 1,960.02 and 429.18 is: 643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.68 : 1,960.02 = 429.18 : x
  2. Step 2: Convert to fraction form
    1,306.68/1,960.02 = 429.18/x
  3. Step 3: Cross multiply
    1,306.68x = 1,960.02 × 429.18
  4. Step 4: Simplify right side
    1,306.68x = 841,201.38
  5. Step 5: Solve for x
    x = 841,201.38/1,306.68
  6. Step 6: Final answer
    x = 643.77

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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.