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Finding the Fourth Proportional to 1,785.32, 2,678.10 and 486.76

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Solution

The fourth proportional to 1,785.32, 2,678.10 and 486.76 is: 730.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.32 : 2,678.10 = 486.76 : x
  2. Step 2: Convert to fraction form
    1,785.32/2,678.10 = 486.76/x
  3. Step 3: Cross multiply
    1,785.32x = 2,678.10 × 486.76
  4. Step 4: Simplify right side
    1,785.32x = 1,303,591.96
  5. Step 5: Solve for x
    x = 1,303,591.96/1,785.32
  6. Step 6: Final answer
    x = 730.17

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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.