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Finding the Fourth Proportional to 1,507.45, 2,261.86 and 777.54

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Solution

The fourth proportional to 1,507.45, 2,261.86 and 777.54 is: 1,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.45 : 2,261.86 = 777.54 : x
  2. Step 2: Convert to fraction form
    1,507.45/2,261.86 = 777.54/x
  3. Step 3: Cross multiply
    1,507.45x = 2,261.86 × 777.54
  4. Step 4: Simplify right side
    1,507.45x = 1,758,686.62
  5. Step 5: Solve for x
    x = 1,758,686.62/1,507.45
  6. Step 6: Final answer
    x = 1,166.66

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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.