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Finding the Fourth Proportional to 802.70, 1,203.62 and 412.53

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Solution

The fourth proportional to 802.70, 1,203.62 and 412.53 is: 618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.70 : 1,203.62 = 412.53 : x
  2. Step 2: Convert to fraction form
    802.70/1,203.62 = 412.53/x
  3. Step 3: Cross multiply
    802.70x = 1,203.62 × 412.53
  4. Step 4: Simplify right side
    802.70x = 496,527.30
  5. Step 5: Solve for x
    x = 496,527.30/802.70
  6. Step 6: Final answer
    x = 618.58

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Why These Related Problems?

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