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Finding the Fourth Proportional to 783.04, 1,080.08 and 502.84

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Solution

The fourth proportional to 783.04, 1,080.08 and 502.84 is: 693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.04 : 1,080.08 = 502.84 : x
  2. Step 2: Convert to fraction form
    783.04/1,080.08 = 502.84/x
  3. Step 3: Cross multiply
    783.04x = 1,080.08 × 502.84
  4. Step 4: Simplify right side
    783.04x = 543,107.43
  5. Step 5: Solve for x
    x = 543,107.43/783.04
  6. Step 6: Final answer
    x = 693.59

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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.