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Finding the Fourth Proportional to 1,134.73, 1,702.09 and 313.01

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Solution

The fourth proportional to 1,134.73, 1,702.09 and 313.01 is: 469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.73 : 1,702.09 = 313.01 : x
  2. Step 2: Convert to fraction form
    1,134.73/1,702.09 = 313.01/x
  3. Step 3: Cross multiply
    1,134.73x = 1,702.09 × 313.01
  4. Step 4: Simplify right side
    1,134.73x = 532,771.19
  5. Step 5: Solve for x
    x = 532,771.19/1,134.73
  6. Step 6: Final answer
    x = 469.51

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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.