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Finding the Fourth Proportional to 948.06, 1,308.42 and 598.50

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Solution

The fourth proportional to 948.06, 1,308.42 and 598.50 is: 825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.06 : 1,308.42 = 598.50 : x
  2. Step 2: Convert to fraction form
    948.06/1,308.42 = 598.50/x
  3. Step 3: Cross multiply
    948.06x = 1,308.42 × 598.50
  4. Step 4: Simplify right side
    948.06x = 783,089.37
  5. Step 5: Solve for x
    x = 783,089.37/948.06
  6. Step 6: Final answer
    x = 825.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.