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Finding the Fourth Proportional to 1,782.74, 2,674.29 and 466.70

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Solution

The fourth proportional to 1,782.74, 2,674.29 and 466.70 is: 700.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.74 : 2,674.29 = 466.70 : x
  2. Step 2: Convert to fraction form
    1,782.74/2,674.29 = 466.70/x
  3. Step 3: Cross multiply
    1,782.74x = 2,674.29 × 466.70
  4. Step 4: Simplify right side
    1,782.74x = 1,248,077.77
  5. Step 5: Solve for x
    x = 1,248,077.77/1,782.74
  6. Step 6: Final answer
    x = 700.09

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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.