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Finding the Fourth Proportional to 1,242.93, 1,862.78 and 511.50

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Solution

The fourth proportional to 1,242.93, 1,862.78 and 511.50 is: 766.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.93 : 1,862.78 = 511.50 : x
  2. Step 2: Convert to fraction form
    1,242.93/1,862.78 = 511.50/x
  3. Step 3: Cross multiply
    1,242.93x = 1,862.78 × 511.50
  4. Step 4: Simplify right side
    1,242.93x = 952,809.41
  5. Step 5: Solve for x
    x = 952,809.41/1,242.93
  6. Step 6: Final answer
    x = 766.58

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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.