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Finding the Fourth Proportional to 858.20, 1,183.96 and 526.50

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Solution

The fourth proportional to 858.20, 1,183.96 and 526.50 is: 726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.20 : 1,183.96 = 526.50 : x
  2. Step 2: Convert to fraction form
    858.20/1,183.96 = 526.50/x
  3. Step 3: Cross multiply
    858.20x = 1,183.96 × 526.50
  4. Step 4: Simplify right side
    858.20x = 623,354.94
  5. Step 5: Solve for x
    x = 623,354.94/858.20
  6. Step 6: Final answer
    x = 726.35

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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.