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Finding the Fourth Proportional to 940.99, 1,412.12 and 420.82

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Solution

The fourth proportional to 940.99, 1,412.12 and 420.82 is: 631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.99 : 1,412.12 = 420.82 : x
  2. Step 2: Convert to fraction form
    940.99/1,412.12 = 420.82/x
  3. Step 3: Cross multiply
    940.99x = 1,412.12 × 420.82
  4. Step 4: Simplify right side
    940.99x = 594,248.34
  5. Step 5: Solve for x
    x = 594,248.34/940.99
  6. Step 6: Final answer
    x = 631.51

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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.