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Finding the Fourth Proportional to 1,261.71, 1,741.30 and 907.54

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Solution

The fourth proportional to 1,261.71, 1,741.30 and 907.54 is: 1,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.71 : 1,741.30 = 907.54 : x
  2. Step 2: Convert to fraction form
    1,261.71/1,741.30 = 907.54/x
  3. Step 3: Cross multiply
    1,261.71x = 1,741.30 × 907.54
  4. Step 4: Simplify right side
    1,261.71x = 1,580,292.78
  5. Step 5: Solve for x
    x = 1,580,292.78/1,261.71
  6. Step 6: Final answer
    x = 1,252.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.