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Finding the Fourth Proportional to 940.12, 1,410.80 and 419.95

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Solution

The fourth proportional to 940.12, 1,410.80 and 419.95 is: 630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.12 : 1,410.80 = 419.95 : x
  2. Step 2: Convert to fraction form
    940.12/1,410.80 = 419.95/x
  3. Step 3: Cross multiply
    940.12x = 1,410.80 × 419.95
  4. Step 4: Simplify right side
    940.12x = 592,459.46
  5. Step 5: Solve for x
    x = 592,459.46/940.12
  6. Step 6: Final answer
    x = 630.20

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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.