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Finding the Fourth Proportional to 1,556.49, 2,334.75 and 460.86

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Solution

The fourth proportional to 1,556.49, 2,334.75 and 460.86 is: 691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.49 : 2,334.75 = 460.86 : x
  2. Step 2: Convert to fraction form
    1,556.49/2,334.75 = 460.86/x
  3. Step 3: Cross multiply
    1,556.49x = 2,334.75 × 460.86
  4. Step 4: Simplify right side
    1,556.49x = 1,075,992.89
  5. Step 5: Solve for x
    x = 1,075,992.89/1,556.49
  6. Step 6: Final answer
    x = 691.29

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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.