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Finding the Fourth Proportional to 980.58, 1,468.58 and 706.87

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Solution

The fourth proportional to 980.58, 1,468.58 and 706.87 is: 1,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.58 : 1,468.58 = 706.87 : x
  2. Step 2: Convert to fraction form
    980.58/1,468.58 = 706.87/x
  3. Step 3: Cross multiply
    980.58x = 1,468.58 × 706.87
  4. Step 4: Simplify right side
    980.58x = 1,038,087.94
  5. Step 5: Solve for x
    x = 1,038,087.94/980.58
  6. Step 6: Final answer
    x = 1,058.65

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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.