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Finding the Fourth Proportional to 1,054.13, 1,577.55 and 658.67

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Solution

The fourth proportional to 1,054.13, 1,577.55 and 658.67 is: 985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.13 : 1,577.55 = 658.67 : x
  2. Step 2: Convert to fraction form
    1,054.13/1,577.55 = 658.67/x
  3. Step 3: Cross multiply
    1,054.13x = 1,577.55 × 658.67
  4. Step 4: Simplify right side
    1,054.13x = 1,039,084.86
  5. Step 5: Solve for x
    x = 1,039,084.86/1,054.13
  6. Step 6: Final answer
    x = 985.73

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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.