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Finding the Fourth Proportional to 1,134.63, 1,702.09 and 404.28

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Solution

The fourth proportional to 1,134.63, 1,702.09 and 404.28 is: 606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.63 : 1,702.09 = 404.28 : x
  2. Step 2: Convert to fraction form
    1,134.63/1,702.09 = 404.28/x
  3. Step 3: Cross multiply
    1,134.63x = 1,702.09 × 404.28
  4. Step 4: Simplify right side
    1,134.63x = 688,120.95
  5. Step 5: Solve for x
    x = 688,120.95/1,134.63
  6. Step 6: Final answer
    x = 606.47

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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.