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Finding the Fourth Proportional to 1,006.46, 1,510.32 and 429.30

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Solution

The fourth proportional to 1,006.46, 1,510.32 and 429.30 is: 644.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.46 : 1,510.32 = 429.30 : x
  2. Step 2: Convert to fraction form
    1,006.46/1,510.32 = 429.30/x
  3. Step 3: Cross multiply
    1,006.46x = 1,510.32 × 429.30
  4. Step 4: Simplify right side
    1,006.46x = 648,380.38
  5. Step 5: Solve for x
    x = 648,380.38/1,006.46
  6. Step 6: Final answer
    x = 644.22

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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.