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Finding the Fourth Proportional to 802.84, 1,107.72 and 453.53

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Solution

The fourth proportional to 802.84, 1,107.72 and 453.53 is: 625.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.84 : 1,107.72 = 453.53 : x
  2. Step 2: Convert to fraction form
    802.84/1,107.72 = 453.53/x
  3. Step 3: Cross multiply
    802.84x = 1,107.72 × 453.53
  4. Step 4: Simplify right side
    802.84x = 502,384.25
  5. Step 5: Solve for x
    x = 502,384.25/802.84
  6. Step 6: Final answer
    x = 625.76

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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.