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Finding the Fourth Proportional to 1,556.71, 2,335.07 and 461.09

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Solution

The fourth proportional to 1,556.71, 2,335.07 and 461.09 is: 691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.71 : 2,335.07 = 461.09 : x
  2. Step 2: Convert to fraction form
    1,556.71/2,335.07 = 461.09/x
  3. Step 3: Cross multiply
    1,556.71x = 2,335.07 × 461.09
  4. Step 4: Simplify right side
    1,556.71x = 1,076,675.12
  5. Step 5: Solve for x
    x = 1,076,675.12/1,556.71
  6. Step 6: Final answer
    x = 691.64

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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.