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Finding the Fourth Proportional to 802.50, 1,203.75 and 255.14

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Solution

The fourth proportional to 802.50, 1,203.75 and 255.14 is: 382.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.50 : 1,203.75 = 255.14 : x
  2. Step 2: Convert to fraction form
    802.50/1,203.75 = 255.14/x
  3. Step 3: Cross multiply
    802.50x = 1,203.75 × 255.14
  4. Step 4: Simplify right side
    802.50x = 307,118.76
  5. Step 5: Solve for x
    x = 307,118.76/802.50
  6. Step 6: Final answer
    x = 382.70

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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.