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Finding the Fourth Proportional to 1,006.94, 1,511.05 and 429.81

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Solution

The fourth proportional to 1,006.94, 1,511.05 and 429.81 is: 644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.94 : 1,511.05 = 429.81 : x
  2. Step 2: Convert to fraction form
    1,006.94/1,511.05 = 429.81/x
  3. Step 3: Cross multiply
    1,006.94x = 1,511.05 × 429.81
  4. Step 4: Simplify right side
    1,006.94x = 649,464.40
  5. Step 5: Solve for x
    x = 649,464.40/1,006.94
  6. Step 6: Final answer
    x = 644.99

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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.