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Finding the Fourth Proportional to 802.94, 1,204.28 and 666.86

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Solution

The fourth proportional to 802.94, 1,204.28 and 666.86 is: 1,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.94 : 1,204.28 = 666.86 : x
  2. Step 2: Convert to fraction form
    802.94/1,204.28 = 666.86/x
  3. Step 3: Cross multiply
    802.94x = 1,204.28 × 666.86
  4. Step 4: Simplify right side
    802.94x = 803,081.81
  5. Step 5: Solve for x
    x = 803,081.81/802.94
  6. Step 6: Final answer
    x = 1,000.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.