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Finding the Fourth Proportional to 587.60, 882.26 and 577.22

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Solution

The fourth proportional to 587.60, 882.26 and 577.22 is: 866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.60 : 882.26 = 577.22 : x
  2. Step 2: Convert to fraction form
    587.60/882.26 = 577.22/x
  3. Step 3: Cross multiply
    587.60x = 882.26 × 577.22
  4. Step 4: Simplify right side
    587.60x = 509,258.12
  5. Step 5: Solve for x
    x = 509,258.12/587.60
  6. Step 6: Final answer
    x = 866.67

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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.