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Finding the Fourth Proportional to 1,307.10, 1,960.79 and 429.68

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Solution

The fourth proportional to 1,307.10, 1,960.79 and 429.68 is: 644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.10 : 1,960.79 = 429.68 : x
  2. Step 2: Convert to fraction form
    1,307.10/1,960.79 = 429.68/x
  3. Step 3: Cross multiply
    1,307.10x = 1,960.79 × 429.68
  4. Step 4: Simplify right side
    1,307.10x = 842,500.29
  5. Step 5: Solve for x
    x = 842,500.29/1,307.10
  6. Step 6: Final answer
    x = 644.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.