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Finding the Fourth Proportional to 940.52, 1,410.93 and 478.11

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Solution

The fourth proportional to 940.52, 1,410.93 and 478.11 is: 717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.52 : 1,410.93 = 478.11 : x
  2. Step 2: Convert to fraction form
    940.52/1,410.93 = 478.11/x
  3. Step 3: Cross multiply
    940.52x = 1,410.93 × 478.11
  4. Step 4: Simplify right side
    940.52x = 674,579.74
  5. Step 5: Solve for x
    x = 674,579.74/940.52
  6. Step 6: Final answer
    x = 717.24

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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.