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Finding the Fourth Proportional to 1,134.69, 1,702.17 and 485.34

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Solution

The fourth proportional to 1,134.69, 1,702.17 and 485.34 is: 728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.69 : 1,702.17 = 485.34 : x
  2. Step 2: Convert to fraction form
    1,134.69/1,702.17 = 485.34/x
  3. Step 3: Cross multiply
    1,134.69x = 1,702.17 × 485.34
  4. Step 4: Simplify right side
    1,134.69x = 826,131.19
  5. Step 5: Solve for x
    x = 826,131.19/1,134.69
  6. Step 6: Final answer
    x = 728.07

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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.