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Finding the Fourth Proportional to 587.98, 883.59 and 552.34

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Solution

The fourth proportional to 587.98, 883.59 and 552.34 is: 830.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.98 : 883.59 = 552.34 : x
  2. Step 2: Convert to fraction form
    587.98/883.59 = 552.34/x
  3. Step 3: Cross multiply
    587.98x = 883.59 × 552.34
  4. Step 4: Simplify right side
    587.98x = 488,042.10
  5. Step 5: Solve for x
    x = 488,042.10/587.98
  6. Step 6: Final answer
    x = 830.03

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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.