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Finding the Fourth Proportional to 802.38, 1,203.18 and 412.58

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Solution

The fourth proportional to 802.38, 1,203.18 and 412.58 is: 618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.38 : 1,203.18 = 412.58 : x
  2. Step 2: Convert to fraction form
    802.38/1,203.18 = 412.58/x
  3. Step 3: Cross multiply
    802.38x = 1,203.18 × 412.58
  4. Step 4: Simplify right side
    802.38x = 496,408.00
  5. Step 5: Solve for x
    x = 496,408.00/802.38
  6. Step 6: Final answer
    x = 618.67

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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.