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Finding the Fourth Proportional to 1,556.70, 2,335.34 and 461.13

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Solution

The fourth proportional to 1,556.70, 2,335.34 and 461.13 is: 691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.70 : 2,335.34 = 461.13 : x
  2. Step 2: Convert to fraction form
    1,556.70/2,335.34 = 461.13/x
  3. Step 3: Cross multiply
    1,556.70x = 2,335.34 × 461.13
  4. Step 4: Simplify right side
    1,556.70x = 1,076,895.33
  5. Step 5: Solve for x
    x = 1,076,895.33/1,556.70
  6. Step 6: Final answer
    x = 691.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.