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Finding the Fourth Proportional to 1,556.74, 2,335.14 and 461.14

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Solution

The fourth proportional to 1,556.74, 2,335.14 and 461.14 is: 691.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.74 : 2,335.14 = 461.14 : x
  2. Step 2: Convert to fraction form
    1,556.74/2,335.14 = 461.14/x
  3. Step 3: Cross multiply
    1,556.74x = 2,335.14 × 461.14
  4. Step 4: Simplify right side
    1,556.74x = 1,076,826.46
  5. Step 5: Solve for x
    x = 1,076,826.46/1,556.74
  6. Step 6: Final answer
    x = 691.72

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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.