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Finding the Fourth Proportional to 1,201.40, 1,802.66 and 508.23

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Solution

The fourth proportional to 1,201.40, 1,802.66 and 508.23 is: 762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.40 : 1,802.66 = 508.23 : x
  2. Step 2: Convert to fraction form
    1,201.40/1,802.66 = 508.23/x
  3. Step 3: Cross multiply
    1,201.40x = 1,802.66 × 508.23
  4. Step 4: Simplify right side
    1,201.40x = 916,165.89
  5. Step 5: Solve for x
    x = 916,165.89/1,201.40
  6. Step 6: Final answer
    x = 762.58

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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.