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Finding the Fourth Proportional to 1,201.63, 1,802.68 and 508.29

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Solution

The fourth proportional to 1,201.63, 1,802.68 and 508.29 is: 762.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.63 : 1,802.68 = 508.29 : x
  2. Step 2: Convert to fraction form
    1,201.63/1,802.68 = 508.29/x
  3. Step 3: Cross multiply
    1,201.63x = 1,802.68 × 508.29
  4. Step 4: Simplify right side
    1,201.63x = 916,282.95
  5. Step 5: Solve for x
    x = 916,282.95/1,201.63
  6. Step 6: Final answer
    x = 762.53

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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.