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Finding the Fourth Proportional to 802.70, 1,204.63 and 528.69

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Solution

The fourth proportional to 802.70, 1,204.63 and 528.69 is: 793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.70 : 1,204.63 = 528.69 : x
  2. Step 2: Convert to fraction form
    802.70/1,204.63 = 528.69/x
  3. Step 3: Cross multiply
    802.70x = 1,204.63 × 528.69
  4. Step 4: Simplify right side
    802.70x = 636,875.83
  5. Step 5: Solve for x
    x = 636,875.83/802.70
  6. Step 6: Final answer
    x = 793.42

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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.