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Finding the Fourth Proportional to 1,307.42, 1,796.56 and 1,044.98

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Solution

The fourth proportional to 1,307.42, 1,796.56 and 1,044.98 is: 1,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307.42 : 1,796.56 = 1,044.98 : x
  2. Step 2: Convert to fraction form
    1,307.42/1,796.56 = 1,044.98/x
  3. Step 3: Cross multiply
    1,307.42x = 1,796.56 × 1,044.98
  4. Step 4: Simplify right side
    1,307.42x = 1,877,369.27
  5. Step 5: Solve for x
    x = 1,877,369.27/1,307.42
  6. Step 6: Final answer
    x = 1,435.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.