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Finding the Fourth Proportional to 656.91, 980.23 and 598.69

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Solution

The fourth proportional to 656.91, 980.23 and 598.69 is: 893.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.91 : 980.23 = 598.69 : x
  2. Step 2: Convert to fraction form
    656.91/980.23 = 598.69/x
  3. Step 3: Cross multiply
    656.91x = 980.23 × 598.69
  4. Step 4: Simplify right side
    656.91x = 586,853.90
  5. Step 5: Solve for x
    x = 586,853.90/656.91
  6. Step 6: Final answer
    x = 893.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.