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Finding the Fourth Proportional to 1,409.25, 2,113.88 and 383.25

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Solution

The fourth proportional to 1,409.25, 2,113.88 and 383.25 is: 574.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.25 : 2,113.88 = 383.25 : x
  2. Step 2: Convert to fraction form
    1,409.25/2,113.88 = 383.25/x
  3. Step 3: Cross multiply
    1,409.25x = 2,113.88 × 383.25
  4. Step 4: Simplify right side
    1,409.25x = 810,144.51
  5. Step 5: Solve for x
    x = 810,144.51/1,409.25
  6. Step 6: Final answer
    x = 574.88

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Double scale
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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.