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Finding the Fourth Proportional to 1,051.87, 1,578.47 and 466.85

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Solution

The fourth proportional to 1,051.87, 1,578.47 and 466.85 is: 700.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.87 : 1,578.47 = 466.85 : x
  2. Step 2: Convert to fraction form
    1,051.87/1,578.47 = 466.85/x
  3. Step 3: Cross multiply
    1,051.87x = 1,578.47 × 466.85
  4. Step 4: Simplify right side
    1,051.87x = 736,908.72
  5. Step 5: Solve for x
    x = 736,908.72/1,051.87
  6. Step 6: Final answer
    x = 700.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.