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Finding the Fourth Proportional to 1,006.68, 1,510.86 and 429.96

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Solution

The fourth proportional to 1,006.68, 1,510.86 and 429.96 is: 645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.68 : 1,510.86 = 429.96 : x
  2. Step 2: Convert to fraction form
    1,006.68/1,510.86 = 429.96/x
  3. Step 3: Cross multiply
    1,006.68x = 1,510.86 × 429.96
  4. Step 4: Simplify right side
    1,006.68x = 649,609.37
  5. Step 5: Solve for x
    x = 649,609.37/1,006.68
  6. Step 6: Final answer
    x = 645.30

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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.