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Finding the Fourth Proportional to 858.53, 1,183.48 and 526.70

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Solution

The fourth proportional to 858.53, 1,183.48 and 526.70 is: 726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.53 : 1,183.48 = 526.70 : x
  2. Step 2: Convert to fraction form
    858.53/1,183.48 = 526.70/x
  3. Step 3: Cross multiply
    858.53x = 1,183.48 × 526.70
  4. Step 4: Simplify right side
    858.53x = 623,340.56
  5. Step 5: Solve for x
    x = 623,340.56/858.53
  6. Step 6: Final answer
    x = 726.05

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Why These Related Problems?

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