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Finding the Fourth Proportional to 1,294.18, 1,784.59 and 962.06

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Solution

The fourth proportional to 1,294.18, 1,784.59 and 962.06 is: 1,326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.18 : 1,784.59 = 962.06 : x
  2. Step 2: Convert to fraction form
    1,294.18/1,784.59 = 962.06/x
  3. Step 3: Cross multiply
    1,294.18x = 1,784.59 × 962.06
  4. Step 4: Simplify right side
    1,294.18x = 1,716,882.66
  5. Step 5: Solve for x
    x = 1,716,882.66/1,294.18
  6. Step 6: Final answer
    x = 1,326.62

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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.