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Finding the Fourth Proportional to 1,243.01, 1,862.93 and 511.72

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Solution

The fourth proportional to 1,243.01, 1,862.93 and 511.72 is: 766.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.01 : 1,862.93 = 511.72 : x
  2. Step 2: Convert to fraction form
    1,243.01/1,862.93 = 511.72/x
  3. Step 3: Cross multiply
    1,243.01x = 1,862.93 × 511.72
  4. Step 4: Simplify right side
    1,243.01x = 953,295.16
  5. Step 5: Solve for x
    x = 953,295.16/1,243.01
  6. Step 6: Final answer
    x = 766.92

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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.