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Finding the Fourth Proportional to 735.98, 1,102.53 and 587.93

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Solution

The fourth proportional to 735.98, 1,102.53 and 587.93 is: 880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.98 : 1,102.53 = 587.93 : x
  2. Step 2: Convert to fraction form
    735.98/1,102.53 = 587.93/x
  3. Step 3: Cross multiply
    735.98x = 1,102.53 × 587.93
  4. Step 4: Simplify right side
    735.98x = 648,210.46
  5. Step 5: Solve for x
    x = 648,210.46/735.98
  6. Step 6: Final answer
    x = 880.74

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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.