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Finding the Fourth Proportional to 1,507.79, 2,263.07 and 767.92

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Solution

The fourth proportional to 1,507.79, 2,263.07 and 767.92 is: 1,152.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.79 : 2,263.07 = 767.92 : x
  2. Step 2: Convert to fraction form
    1,507.79/2,263.07 = 767.92/x
  3. Step 3: Cross multiply
    1,507.79x = 2,263.07 × 767.92
  4. Step 4: Simplify right side
    1,507.79x = 1,737,845.40
  5. Step 5: Solve for x
    x = 1,737,845.40/1,507.79
  6. Step 6: Final answer
    x = 1,152.58

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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.