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Finding the Fourth Proportional to 735.51, 1,102.41 and 598.80

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Solution

The fourth proportional to 735.51, 1,102.41 and 598.80 is: 897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.51 : 1,102.41 = 598.80 : x
  2. Step 2: Convert to fraction form
    735.51/1,102.41 = 598.80/x
  3. Step 3: Cross multiply
    735.51x = 1,102.41 × 598.80
  4. Step 4: Simplify right side
    735.51x = 660,123.11
  5. Step 5: Solve for x
    x = 660,123.11/735.51
  6. Step 6: Final answer
    x = 897.50

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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.