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Finding the Fourth Proportional to 802.28, 1,106.02 and 568.68

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Solution

The fourth proportional to 802.28, 1,106.02 and 568.68 is: 783.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.28 : 1,106.02 = 568.68 : x
  2. Step 2: Convert to fraction form
    802.28/1,106.02 = 568.68/x
  3. Step 3: Cross multiply
    802.28x = 1,106.02 × 568.68
  4. Step 4: Simplify right side
    802.28x = 628,971.45
  5. Step 5: Solve for x
    x = 628,971.45/802.28
  6. Step 6: Final answer
    x = 783.98

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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.