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Finding the Fourth Proportional to 1,407.25, 2,109.46 and 585.98

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Solution

The fourth proportional to 1,407.25, 2,109.46 and 585.98 is: 878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.25 : 2,109.46 = 585.98 : x
  2. Step 2: Convert to fraction form
    1,407.25/2,109.46 = 585.98/x
  3. Step 3: Cross multiply
    1,407.25x = 2,109.46 × 585.98
  4. Step 4: Simplify right side
    1,407.25x = 1,236,101.37
  5. Step 5: Solve for x
    x = 1,236,101.37/1,407.25
  6. Step 6: Final answer
    x = 878.38

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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.