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Finding the Fourth Proportional to 656.64, 982.44 and 595.08

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Solution

The fourth proportional to 656.64, 982.44 and 595.08 is: 890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.64 : 982.44 = 595.08 : x
  2. Step 2: Convert to fraction form
    656.64/982.44 = 595.08/x
  3. Step 3: Cross multiply
    656.64x = 982.44 × 595.08
  4. Step 4: Simplify right side
    656.64x = 584,630.40
  5. Step 5: Solve for x
    x = 584,630.40/656.64
  6. Step 6: Final answer
    x = 890.34

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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.