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Finding the Fourth Proportional to 802.94, 1,108.14 and 453.56

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Solution

The fourth proportional to 802.94, 1,108.14 and 453.56 is: 625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.94 : 1,108.14 = 453.56 : x
  2. Step 2: Convert to fraction form
    802.94/1,108.14 = 453.56/x
  3. Step 3: Cross multiply
    802.94x = 1,108.14 × 453.56
  4. Step 4: Simplify right side
    802.94x = 502,607.98
  5. Step 5: Solve for x
    x = 502,607.98/802.94
  6. Step 6: Final answer
    x = 625.96

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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.