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Finding the Fourth Proportional to 1,556.79, 2,335.20 and 461.19

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Solution

The fourth proportional to 1,556.79, 2,335.20 and 461.19 is: 691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.79 : 2,335.20 = 461.19 : x
  2. Step 2: Convert to fraction form
    1,556.79/2,335.20 = 461.19/x
  3. Step 3: Cross multiply
    1,556.79x = 2,335.20 × 461.19
  4. Step 4: Simplify right side
    1,556.79x = 1,076,970.89
  5. Step 5: Solve for x
    x = 1,076,970.89/1,556.79
  6. Step 6: Final answer
    x = 691.79

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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.