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Finding the Fourth Proportional to 1,556.32, 2,335.26 and 734.50

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Solution

The fourth proportional to 1,556.32, 2,335.26 and 734.50 is: 1,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.32 : 2,335.26 = 734.50 : x
  2. Step 2: Convert to fraction form
    1,556.32/2,335.26 = 734.50/x
  3. Step 3: Cross multiply
    1,556.32x = 2,335.26 × 734.50
  4. Step 4: Simplify right side
    1,556.32x = 1,715,248.47
  5. Step 5: Solve for x
    x = 1,715,248.47/1,556.32
  6. Step 6: Final answer
    x = 1,102.12

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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.