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Finding the Fourth Proportional to 1,146.98, 1,717.59 and 904.82

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Solution

The fourth proportional to 1,146.98, 1,717.59 and 904.82 is: 1,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.98 : 1,717.59 = 904.82 : x
  2. Step 2: Convert to fraction form
    1,146.98/1,717.59 = 904.82/x
  3. Step 3: Cross multiply
    1,146.98x = 1,717.59 × 904.82
  4. Step 4: Simplify right side
    1,146.98x = 1,554,109.78
  5. Step 5: Solve for x
    x = 1,554,109.78/1,146.98
  6. Step 6: Final answer
    x = 1,354.96

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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.