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Finding the Fourth Proportional to 1,006.19, 1,509.93 and 429.07

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Solution

The fourth proportional to 1,006.19, 1,509.93 and 429.07 is: 643.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.19 : 1,509.93 = 429.07 : x
  2. Step 2: Convert to fraction form
    1,006.19/1,509.93 = 429.07/x
  3. Step 3: Cross multiply
    1,006.19x = 1,509.93 × 429.07
  4. Step 4: Simplify right side
    1,006.19x = 647,865.67
  5. Step 5: Solve for x
    x = 647,865.67/1,006.19
  6. Step 6: Final answer
    x = 643.88

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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.