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Finding the Fourth Proportional to 1,134.96, 1,702.59 and 404.37

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Solution

The fourth proportional to 1,134.96, 1,702.59 and 404.37 is: 606.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.96 : 1,702.59 = 404.37 : x
  2. Step 2: Convert to fraction form
    1,134.96/1,702.59 = 404.37/x
  3. Step 3: Cross multiply
    1,134.96x = 1,702.59 × 404.37
  4. Step 4: Simplify right side
    1,134.96x = 688,473.43
  5. Step 5: Solve for x
    x = 688,473.43/1,134.96
  6. Step 6: Final answer
    x = 606.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.