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Finding the Fourth Proportional to 656.16, 982.35 and 590.55

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Solution

The fourth proportional to 656.16, 982.35 and 590.55 is: 884.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.16 : 982.35 = 590.55 : x
  2. Step 2: Convert to fraction form
    656.16/982.35 = 590.55/x
  3. Step 3: Cross multiply
    656.16x = 982.35 × 590.55
  4. Step 4: Simplify right side
    656.16x = 580,126.79
  5. Step 5: Solve for x
    x = 580,126.79/656.16
  6. Step 6: Final answer
    x = 884.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.