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Finding the Fourth Proportional to 1,538.22, 2,306.61 and 511.50

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Solution

The fourth proportional to 1,538.22, 2,306.61 and 511.50 is: 767.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538.22 : 2,306.61 = 511.50 : x
  2. Step 2: Convert to fraction form
    1,538.22/2,306.61 = 511.50/x
  3. Step 3: Cross multiply
    1,538.22x = 2,306.61 × 511.50
  4. Step 4: Simplify right side
    1,538.22x = 1,179,831.02
  5. Step 5: Solve for x
    x = 1,179,831.02/1,538.22
  6. Step 6: Final answer
    x = 767.01

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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.