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Finding the Fourth Proportional to 993.02, 1,368.95 and 782.28

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Solution

The fourth proportional to 993.02, 1,368.95 and 782.28 is: 1,078.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.02 : 1,368.95 = 782.28 : x
  2. Step 2: Convert to fraction form
    993.02/1,368.95 = 782.28/x
  3. Step 3: Cross multiply
    993.02x = 1,368.95 × 782.28
  4. Step 4: Simplify right side
    993.02x = 1,070,898.29
  5. Step 5: Solve for x
    x = 1,070,898.29/993.02
  6. Step 6: Final answer
    x = 1,078.43

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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.