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Finding the Fourth Proportional to 1,143.58, 1,715.58 and 485.86

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Solution

The fourth proportional to 1,143.58, 1,715.58 and 485.86 is: 728.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.58 : 1,715.58 = 485.86 : x
  2. Step 2: Convert to fraction form
    1,143.58/1,715.58 = 485.86/x
  3. Step 3: Cross multiply
    1,143.58x = 1,715.58 × 485.86
  4. Step 4: Simplify right side
    1,143.58x = 833,531.70
  5. Step 5: Solve for x
    x = 833,531.70/1,143.58
  6. Step 6: Final answer
    x = 728.88

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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.