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Finding the Fourth Proportional to 802.86, 1,204.65 and 529.08

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Solution

The fourth proportional to 802.86, 1,204.65 and 529.08 is: 793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.86 : 1,204.65 = 529.08 : x
  2. Step 2: Convert to fraction form
    802.86/1,204.65 = 529.08/x
  3. Step 3: Cross multiply
    802.86x = 1,204.65 × 529.08
  4. Step 4: Simplify right side
    802.86x = 637,356.22
  5. Step 5: Solve for x
    x = 637,356.22/802.86
  6. Step 6: Final answer
    x = 793.86

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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.