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Finding the Fourth Proportional to 1,556.89, 2,335.74 and 583

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Solution

The fourth proportional to 1,556.89, 2,335.74 and 583 is: 874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.89 : 2,335.74 = 583 : x
  2. Step 2: Convert to fraction form
    1,556.89/2,335.74 = 583/x
  3. Step 3: Cross multiply
    1,556.89x = 2,335.74 × 583
  4. Step 4: Simplify right side
    1,556.89x = 1,361,736.42
  5. Step 5: Solve for x
    x = 1,361,736.42/1,556.89
  6. Step 6: Final answer
    x = 874.65

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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.