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Finding the Fourth Proportional to 1,407.63, 2,111.44 and 381.63

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Solution

The fourth proportional to 1,407.63, 2,111.44 and 381.63 is: 572.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.63 : 2,111.44 = 381.63 : x
  2. Step 2: Convert to fraction form
    1,407.63/2,111.44 = 381.63/x
  3. Step 3: Cross multiply
    1,407.63x = 2,111.44 × 381.63
  4. Step 4: Simplify right side
    1,407.63x = 805,788.85
  5. Step 5: Solve for x
    x = 805,788.85/1,407.63
  6. Step 6: Final answer
    x = 572.44

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Double scale
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1.5x scale

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.