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Finding the Fourth Proportional to 1,406.32, 2,109.50 and 482.94

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Solution

The fourth proportional to 1,406.32, 2,109.50 and 482.94 is: 724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.32 : 2,109.50 = 482.94 : x
  2. Step 2: Convert to fraction form
    1,406.32/2,109.50 = 482.94/x
  3. Step 3: Cross multiply
    1,406.32x = 2,109.50 × 482.94
  4. Step 4: Simplify right side
    1,406.32x = 1,018,761.93
  5. Step 5: Solve for x
    x = 1,018,761.93/1,406.32
  6. Step 6: Final answer
    x = 724.42

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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.