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Finding the Fourth Proportional to 1,134.12, 1,702.38 and 953.46

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Solution

The fourth proportional to 1,134.12, 1,702.38 and 953.46 is: 1,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.12 : 1,702.38 = 953.46 : x
  2. Step 2: Convert to fraction form
    1,134.12/1,702.38 = 953.46/x
  3. Step 3: Cross multiply
    1,134.12x = 1,702.38 × 953.46
  4. Step 4: Simplify right side
    1,134.12x = 1,623,151.23
  5. Step 5: Solve for x
    x = 1,623,151.23/1,134.12
  6. Step 6: Final answer
    x = 1,431.20

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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.