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Finding the Fourth Proportional to 802.90, 1,203.90 and 340.60

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Solution

The fourth proportional to 802.90, 1,203.90 and 340.60 is: 510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.90 : 1,203.90 = 340.60 : x
  2. Step 2: Convert to fraction form
    802.90/1,203.90 = 340.60/x
  3. Step 3: Cross multiply
    802.90x = 1,203.90 × 340.60
  4. Step 4: Simplify right side
    802.90x = 410,048.34
  5. Step 5: Solve for x
    x = 410,048.34/802.90
  6. Step 6: Final answer
    x = 510.71

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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.