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Finding the Fourth Proportional to 1,006.61, 1,509.91 and 832.95

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Solution

The fourth proportional to 1,006.61, 1,509.91 and 832.95 is: 1,249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.61 : 1,509.91 = 832.95 : x
  2. Step 2: Convert to fraction form
    1,006.61/1,509.91 = 832.95/x
  3. Step 3: Cross multiply
    1,006.61x = 1,509.91 × 832.95
  4. Step 4: Simplify right side
    1,006.61x = 1,257,677.45
  5. Step 5: Solve for x
    x = 1,257,677.45/1,006.61
  6. Step 6: Final answer
    x = 1,249.43

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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.