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Finding the Fourth Proportional to 1,046.69, 1,447.56 and 915.47

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Solution

The fourth proportional to 1,046.69, 1,447.56 and 915.47 is: 1,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.69 : 1,447.56 = 915.47 : x
  2. Step 2: Convert to fraction form
    1,046.69/1,447.56 = 915.47/x
  3. Step 3: Cross multiply
    1,046.69x = 1,447.56 × 915.47
  4. Step 4: Simplify right side
    1,046.69x = 1,325,190.52
  5. Step 5: Solve for x
    x = 1,325,190.52/1,046.69
  6. Step 6: Final answer
    x = 1,266.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.